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Finding the Fourth Proportional to 509,930.13, 764,812.01 and 150,016.78

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Solution

The fourth proportional to 509,930.13, 764,812.01 and 150,016.78 is: 225,000.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,930.13 : 764,812.01 = 150,016.78 : x
  2. Step 2: Convert to fraction form
    509,930.13/764,812.01 = 150,016.78/x
  3. Step 3: Cross multiply
    509,930.13x = 764,812.01 × 150,016.78
  4. Step 4: Simplify right side
    509,930.13x = 114,734,635,045.53
  5. Step 5: Solve for x
    x = 114,734,635,045.53/509,930.13
  6. Step 6: Final answer
    x = 225,000.70

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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.