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Finding the Fourth Proportional to 509,149.60, 763,724.40 and 332,002.60

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Solution

The fourth proportional to 509,149.60, 763,724.40 and 332,002.60 is: 498,003.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,149.60 : 763,724.40 = 332,002.60 : x
  2. Step 2: Convert to fraction form
    509,149.60/763,724.40 = 332,002.60/x
  3. Step 3: Cross multiply
    509,149.60x = 763,724.40 × 332,002.60
  4. Step 4: Simplify right side
    509,149.60x = 253,558,486,483.44
  5. Step 5: Solve for x
    x = 253,558,486,483.44/509,149.60
  6. Step 6: Final answer
    x = 498,003.90

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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.