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Finding the Fourth Proportional to 527,374.70, 727,722.47 and 297,957.04

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Solution

The fourth proportional to 527,374.70, 727,722.47 and 297,957.04 is: 411,149.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,374.70 : 727,722.47 = 297,957.04 : x
  2. Step 2: Convert to fraction form
    527,374.70/727,722.47 = 297,957.04/x
  3. Step 3: Cross multiply
    527,374.70x = 727,722.47 × 297,957.04
  4. Step 4: Simplify right side
    527,374.70x = 216,830,033,102.69
  5. Step 5: Solve for x
    x = 216,830,033,102.69/527,374.70
  6. Step 6: Final answer
    x = 411,149.86

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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.