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Finding the Fourth Proportional to 512,882.55, 769,082.24 and 299,712.02

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Solution

The fourth proportional to 512,882.55, 769,082.24 and 299,712.02 is: 449,426.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,882.55 : 769,082.24 = 299,712.02 : x
  2. Step 2: Convert to fraction form
    512,882.55/769,082.24 = 299,712.02/x
  3. Step 3: Cross multiply
    512,882.55x = 769,082.24 × 299,712.02
  4. Step 4: Simplify right side
    512,882.55x = 230,503,188,600.39
  5. Step 5: Solve for x
    x = 230,503,188,600.39/512,882.55
  6. Step 6: Final answer
    x = 449,426.85

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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.