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Finding the Fourth Proportional to 509,612.80, 764,419.20 and 478,508.80

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Solution

The fourth proportional to 509,612.80, 764,419.20 and 478,508.80 is: 717,763.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,612.80 : 764,419.20 = 478,508.80 : x
  2. Step 2: Convert to fraction form
    509,612.80/764,419.20 = 478,508.80/x
  3. Step 3: Cross multiply
    509,612.80x = 764,419.20 × 478,508.80
  4. Step 4: Simplify right side
    509,612.80x = 365,781,314,088.96
  5. Step 5: Solve for x
    x = 365,781,314,088.96/509,612.80
  6. Step 6: Final answer
    x = 717,763.20

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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.