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Finding the Fourth Proportional to 527,431.98, 727,857.92 and 285,713.80

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Solution

The fourth proportional to 527,431.98, 727,857.92 and 285,713.80 is: 394,286.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,431.98 : 727,857.92 = 285,713.80 : x
  2. Step 2: Convert to fraction form
    527,431.98/727,857.92 = 285,713.80/x
  3. Step 3: Cross multiply
    527,431.98x = 727,857.92 × 285,713.80
  4. Step 4: Simplify right side
    527,431.98x = 207,959,052,183.30
  5. Step 5: Solve for x
    x = 207,959,052,183.30/527,431.98
  6. Step 6: Final answer
    x = 394,286.01

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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.