Finding the Fourth Proportional to 180,256,212.39, 270,381,363.86 and 57,432,861.33
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Solution
The fourth proportional to 180,256,212.39, 270,381,363.86 and 57,432,861.33 is: 86,148,350.56
Step by Step Solution
- Step 1: Write the proportion equation
180,256,212.39 : 270,381,363.86 = 57,432,861.33 : x - Step 2: Convert to fraction form
180,256,212.39/270,381,363.86 = 57,432,861.33/x - Step 3: Cross multiply
180,256,212.39x = 270,381,363.86 × 57,432,861.33 - Step 4: Simplify right side
180,256,212.39x = 15,528,775,375,917,306 - Step 5: Solve for x
x = 15,528,775,375,917,306/180,256,212.39 - Step 6: Final answer
x = 86,148,350.56
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.