Finding the Fourth Proportional to 506,438,138.09, 698,869,620.20 and 280,387,196.44
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Solution
The fourth proportional to 506,438,138.09, 698,869,620.20 and 280,387,196.44 is: 386,926,020.67
Step by Step Solution
- Step 1: Write the proportion equation
506,438,138.09 : 698,869,620.20 = 280,387,196.44 : x - Step 2: Convert to fraction form
506,438,138.09/698,869,620.20 = 280,387,196.44/x - Step 3: Cross multiply
506,438,138.09x = 698,869,620.20 × 280,387,196.44 - Step 4: Simplify right side
506,438,138.09x = 195,954,093,487,854,016 - Step 5: Solve for x
x = 195,954,093,487,854,016/506,438,138.09 - Step 6: Final answer
x = 386,926,020.67
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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.