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Finding the Fourth Proportional to 509,500.80, 764,201.99 and 154,517.90

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Solution

The fourth proportional to 509,500.80, 764,201.99 and 154,517.90 is: 231,761.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,500.80 : 764,201.99 = 154,517.90 : x
  2. Step 2: Convert to fraction form
    509,500.80/764,201.99 = 154,517.90/x
  3. Step 3: Cross multiply
    509,500.80x = 764,201.99 × 154,517.90
  4. Step 4: Simplify right side
    509,500.80x = 118,082,883,235.91
  5. Step 5: Solve for x
    x = 118,082,883,235.91/509,500.80
  6. Step 6: Final answer
    x = 231,761.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.