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Finding the Fourth Proportional to 527,335.92, 727,721.82 and 285,617.88

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Solution

The fourth proportional to 527,335.92, 727,721.82 and 285,617.88 is: 394,151.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,335.92 : 727,721.82 = 285,617.88 : x
  2. Step 2: Convert to fraction form
    527,335.92/727,721.82 = 285,617.88/x
  3. Step 3: Cross multiply
    527,335.92x = 727,721.82 × 285,617.88
  4. Step 4: Simplify right side
    527,335.92x = 207,850,363,458.14
  5. Step 5: Solve for x
    x = 207,850,363,458.14/527,335.92
  6. Step 6: Final answer
    x = 394,151.73

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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.