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Finding the Fourth Proportional to 509,793.90, 764,690.85 and 478,301.10

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Solution

The fourth proportional to 509,793.90, 764,690.85 and 478,301.10 is: 717,451.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,793.90 : 764,690.85 = 478,301.10 : x
  2. Step 2: Convert to fraction form
    509,793.90/764,690.85 = 478,301.10/x
  3. Step 3: Cross multiply
    509,793.90x = 764,690.85 × 478,301.10
  4. Step 4: Simplify right side
    509,793.90x = 365,752,474,714.94
  5. Step 5: Solve for x
    x = 365,752,474,714.94/509,793.90
  6. Step 6: Final answer
    x = 717,451.65

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Double scale
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Similar ratio
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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.