This article presents a one-parameter fractional multiplicative integral identity and uses it to derive a set of inequalities for multiplicatively \(s\)-convex mappings. The inequalities include new discoveries and improvements upon some well-known results. The study begins by introducing a parameterized identity integral specifically designed for multiplicative differentiable functions. Building on this foundation, the authors derive three-point Newton-Cotes-type inequalities tailored for multiplicative \(s\)-convex functions. The main results are supported by illustrative examples and graphical representations, which vividly illustrate the usefulness and significance of the derived inequalities. Additionally, the article provides practical applications to special means of real numbers within the domain of multiplicative calculus. The work contributes significantly to the ongoing discourse on multiplicative calculus, offering new insights and paving the way for further research and advancements in this domain.This article presents a one-parameter fractional multiplicative integral identity and uses it to derive a set of inequalities for multiplicatively \(s\)-convex mappings. The inequalities include new discoveries and improvements upon some well-known results. The study begins by introducing a parameterized identity integral specifically designed for multiplicative differentiable functions. Building on this foundation, the authors derive three-point Newton-Cotes-type inequalities tailored for multiplicative \(s\)-convex functions. The main results are supported by illustrative examples and graphical representations, which vividly illustrate the usefulness and significance of the derived inequalities. Additionally, the article provides practical applications to special means of real numbers within the domain of multiplicative calculus. The work contributes significantly to the ongoing discourse on multiplicative calculus, offering new insights and paving the way for further research and advancements in this domain.