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Finding the Fourth Proportional to 527,114.47, 727,414.89 and 285,391.97

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Solution

The fourth proportional to 527,114.47, 727,414.89 and 285,391.97 is: 393,839.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,114.47 : 727,414.89 = 285,391.97 : x
  2. Step 2: Convert to fraction form
    527,114.47/727,414.89 = 285,391.97/x
  3. Step 3: Cross multiply
    527,114.47x = 727,414.89 × 285,391.97
  4. Step 4: Simplify right side
    527,114.47x = 207,598,368,464.43
  5. Step 5: Solve for x
    x = 207,598,368,464.43/527,114.47
  6. Step 6: Final answer
    x = 393,839.25

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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.