Solve 122.4/67.45=556.26/x

$$\frac{ 122.4 }{ 67.45 } = \frac{ 556.26 }{ x }$$

Solve for x

$$x = \frac{12506579}{40800} = 306\frac{21779}{40800} \approx 306.53379902$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$x\times \frac{122.4}{67.45}=556.26$$

Expand \frac{122.4}{67.45} by multiplying both numerator and the denominator by 100.

$$x\times \frac{12240}{6745}=556.26$$

Reduce the fraction \frac{12240}{6745} to lowest terms by extracting and canceling out 5.

$$x\times \frac{2448}{1349}=556.26$$

Multiply both sides by \frac{1349}{2448}, the reciprocal of \frac{2448}{1349}.

$$x=556.26\times \frac{1349}{2448}$$

Convert decimal number 556.26 to fraction \frac{55626}{100}. Reduce the fraction \frac{55626}{100} to lowest terms by extracting and canceling out 2.

$$x=\frac{27813}{50}\times \frac{1349}{2448}$$

Multiply \frac{27813}{50} times \frac{1349}{2448} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{27813\times 1349}{50\times 2448}$$

Do the multiplications in the fraction \frac{27813\times 1349}{50\times 2448}.

$$x=\frac{37519737}{122400}$$

Reduce the fraction \frac{37519737}{122400} to lowest terms by extracting and canceling out 3.

$$x=\frac{12506579}{40800}$$