Finding the Fourth Proportional to 206,454,294.14, 284,761,873.46 and 135,867,414.74
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Solution
The fourth proportional to 206,454,294.14, 284,761,873.46 and 135,867,414.74 is: 187,401,573.43
Step by Step Solution
- Step 1: Write the proportion equation
206,454,294.14 : 284,761,873.46 = 135,867,414.74 : x - Step 2: Convert to fraction form
206,454,294.14/284,761,873.46 = 135,867,414.74/x - Step 3: Cross multiply
206,454,294.14x = 284,761,873.46 × 135,867,414.74 - Step 4: Simplify right side
206,454,294.14x = 38,689,859,562,445,080 - Step 5: Solve for x
x = 38,689,859,562,445,080/206,454,294.14 - Step 6: Final answer
x = 187,401,573.43
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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.