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Finding the Fourth Proportional to 527,298.80, 727,717.14 and 297,898.16

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Solution

The fourth proportional to 527,298.80, 727,717.14 and 297,898.16 is: 411,124.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,298.80 : 727,717.14 = 297,898.16 : x
  2. Step 2: Convert to fraction form
    527,298.80/727,717.14 = 297,898.16/x
  3. Step 3: Cross multiply
    527,298.80x = 727,717.14 × 297,898.16
  4. Step 4: Simplify right side
    527,298.80x = 216,785,597,006.46
  5. Step 5: Solve for x
    x = 216,785,597,006.46/527,298.80
  6. Step 6: Final answer
    x = 411,124.77

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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.