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Finding the Fourth Proportional to 512,605.20, 768,849.44 and 138,599.04

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Solution

The fourth proportional to 512,605.20, 768,849.44 and 138,599.04 is: 207,882.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,605.20 : 768,849.44 = 138,599.04 : x
  2. Step 2: Convert to fraction form
    512,605.20/768,849.44 = 138,599.04/x
  3. Step 3: Cross multiply
    512,605.20x = 768,849.44 × 138,599.04
  4. Step 4: Simplify right side
    512,605.20x = 106,561,794,288.54
  5. Step 5: Solve for x
    x = 106,561,794,288.54/512,605.20
  6. Step 6: Final answer
    x = 207,882.78

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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.