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Finding the Fourth Proportional to 509,631.40, 764,447.10 and 478,138.60

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Solution

The fourth proportional to 509,631.40, 764,447.10 and 478,138.60 is: 717,207.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,631.40 : 764,447.10 = 478,138.60 : x
  2. Step 2: Convert to fraction form
    509,631.40/764,447.10 = 478,138.60/x
  3. Step 3: Cross multiply
    509,631.40x = 764,447.10 × 478,138.60
  4. Step 4: Simplify right side
    509,631.40x = 365,511,666,168.06
  5. Step 5: Solve for x
    x = 365,511,666,168.06/509,631.40
  6. Step 6: Final answer
    x = 717,207.90

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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.