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Finding the Fourth Proportional to 521,309.40, 782,620.20 and 281,614.20

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Solution

The fourth proportional to 521,309.40, 782,620.20 and 281,614.20 is: 422,775.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,309.40 : 782,620.20 = 281,614.20 : x
  2. Step 2: Convert to fraction form
    521,309.40/782,620.20 = 281,614.20/x
  3. Step 3: Cross multiply
    521,309.40x = 782,620.20 × 281,614.20
  4. Step 4: Simplify right side
    521,309.40x = 220,396,961,526.84
  5. Step 5: Solve for x
    x = 220,396,961,526.84/521,309.40
  6. Step 6: Final answer
    x = 422,775.73

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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.