In this article, we explored a comprehensive class of quadrature formulas characterized by a bi-parametric expression via the concept of multiplicative $(s,P)$-convexity. Inspired by prior works in this field, we investigated formulas with varying points (ranging from $1$ to $4$) and established associated fractional multiplicative inequalities for functions whose multiplicative first-order derivatives exhibit multiplicative $(s,P)$-convexity.