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Finding the Fourth Proportional to 512,793.10, 769,882.20 and 299,779.30

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Solution

The fourth proportional to 512,793.10, 769,882.20 and 299,779.30 is: 450,073.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,793.10 : 769,882.20 = 299,779.30 : x
  2. Step 2: Convert to fraction form
    512,793.10/769,882.20 = 299,779.30/x
  3. Step 3: Cross multiply
    512,793.10x = 769,882.20 × 299,779.30
  4. Step 4: Simplify right side
    512,793.10x = 230,794,746,998.46
  5. Step 5: Solve for x
    x = 230,794,746,998.46/512,793.10
  6. Step 6: Final answer
    x = 450,073.82

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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.