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Finding the Fourth Proportional to 527,234.75, 727,583.97 and 285,517.32

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Solution

The fourth proportional to 527,234.75, 727,583.97 and 285,517.32 is: 394,013.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,234.75 : 727,583.97 = 285,517.32 : x
  2. Step 2: Convert to fraction form
    527,234.75/727,583.97 = 285,517.32/x
  3. Step 3: Cross multiply
    527,234.75x = 727,583.97 × 285,517.32
  4. Step 4: Simplify right side
    527,234.75x = 207,737,825,189.36
  5. Step 5: Solve for x
    x = 207,737,825,189.36/527,234.75
  6. Step 6: Final answer
    x = 394,013.91

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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.