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Finding the Fourth Proportional to 527,520.66, 727,978.68 and 285,804.90

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Solution

The fourth proportional to 527,520.66, 727,978.68 and 285,804.90 is: 394,410.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,520.66 : 727,978.68 = 285,804.90 : x
  2. Step 2: Convert to fraction form
    527,520.66/727,978.68 = 285,804.90/x
  3. Step 3: Cross multiply
    527,520.66x = 727,978.68 × 285,804.90
  4. Step 4: Simplify right side
    527,520.66x = 208,059,873,839.53
  5. Step 5: Solve for x
    x = 208,059,873,839.53/527,520.66
  6. Step 6: Final answer
    x = 394,410.85

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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.