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Finding the Fourth Proportional to 527,419.98, 727,660.53 and 297,943.74

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Solution

The fourth proportional to 527,419.98, 727,660.53 and 297,943.74 is: 411,061.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,419.98 : 727,660.53 = 297,943.74 : x
  2. Step 2: Convert to fraction form
    527,419.98/727,660.53 = 297,943.74/x
  3. Step 3: Cross multiply
    527,419.98x = 727,660.53 × 297,943.74
  4. Step 4: Simplify right side
    527,419.98x = 216,801,899,758.58
  5. Step 5: Solve for x
    x = 216,801,899,758.58/527,419.98
  6. Step 6: Final answer
    x = 411,061.22

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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.