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Finding the Fourth Proportional to 527,057.91, 727,343.87 and 285,344.55

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Solution

The fourth proportional to 527,057.91, 727,343.87 and 285,344.55 is: 393,777.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,057.91 : 727,343.87 = 285,344.55 : x
  2. Step 2: Convert to fraction form
    527,057.91/727,343.87 = 285,344.55/x
  3. Step 3: Cross multiply
    527,057.91x = 727,343.87 × 285,344.55
  4. Step 4: Simplify right side
    527,057.91x = 207,543,607,853.69
  5. Step 5: Solve for x
    x = 207,543,607,853.69/527,057.91
  6. Step 6: Final answer
    x = 393,777.62

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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.