Finding the Fourth Proportional to 539,284,557.12, 744,726,672.64 and 509,904,748.96
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Solution
The fourth proportional to 539,284,557.12, 744,726,672.64 and 509,904,748.96 is: 704,154,535.94
Step by Step Solution
- Step 1: Write the proportion equation
539,284,557.12 : 744,726,672.64 = 509,904,748.96 : x - Step 2: Convert to fraction form
539,284,557.12/744,726,672.64 = 509,904,748.96/x - Step 3: Cross multiply
539,284,557.12x = 744,726,672.64 × 509,904,748.96 - Step 4: Simplify right side
539,284,557.12x = 379,739,667,056,315,264 - Step 5: Solve for x
x = 379,739,667,056,315,264/539,284,557.12 - Step 6: Final answer
x = 704,154,535.94
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.