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Finding the Fourth Proportional to 527,262.90, 727,695.21 and 323,277.76

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Solution

The fourth proportional to 527,262.90, 727,695.21 and 323,277.76 is: 446,167.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,262.90 : 727,695.21 = 323,277.76 : x
  2. Step 2: Convert to fraction form
    527,262.90/727,695.21 = 323,277.76/x
  3. Step 3: Cross multiply
    527,262.90x = 727,695.21 × 323,277.76
  4. Step 4: Simplify right side
    527,262.90x = 235,247,677,451.53
  5. Step 5: Solve for x
    x = 235,247,677,451.53/527,262.90
  6. Step 6: Final answer
    x = 446,167.70

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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.