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Finding the Fourth Proportional to 527,069.28, 727,355.90 and 285,351.90

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Solution

The fourth proportional to 527,069.28, 727,355.90 and 285,351.90 is: 393,785.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,069.28 : 727,355.90 = 285,351.90 : x
  2. Step 2: Convert to fraction form
    527,069.28/727,355.90 = 285,351.90/x
  3. Step 3: Cross multiply
    527,069.28x = 727,355.90 × 285,351.90
  4. Step 4: Simplify right side
    527,069.28x = 207,552,388,041.21
  5. Step 5: Solve for x
    x = 207,552,388,041.21/527,069.28
  6. Step 6: Final answer
    x = 393,785.78

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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.