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Finding the Fourth Proportional to 510,691.80, 766,475.10 and 226,819.20

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Solution

The fourth proportional to 510,691.80, 766,475.10 and 226,819.20 is: 340,423.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,691.80 : 766,475.10 = 226,819.20 : x
  2. Step 2: Convert to fraction form
    510,691.80/766,475.10 = 226,819.20/x
  3. Step 3: Cross multiply
    510,691.80x = 766,475.10 × 226,819.20
  4. Step 4: Simplify right side
    510,691.80x = 173,851,269,001.92
  5. Step 5: Solve for x
    x = 173,851,269,001.92/510,691.80
  6. Step 6: Final answer
    x = 340,423.07

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1.5x scale

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.