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Finding the Fourth Proportional to 509,344.20, 764,016.30 and 420,697.80

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Solution

The fourth proportional to 509,344.20, 764,016.30 and 420,697.80 is: 631,046.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,344.20 : 764,016.30 = 420,697.80 : x
  2. Step 2: Convert to fraction form
    509,344.20/764,016.30 = 420,697.80/x
  3. Step 3: Cross multiply
    509,344.20x = 764,016.30 × 420,697.80
  4. Step 4: Simplify right side
    509,344.20x = 321,419,976,574.14
  5. Step 5: Solve for x
    x = 321,419,976,574.14/509,344.20
  6. Step 6: Final answer
    x = 631,046.70

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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.