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Finding the Fourth Proportional to 442,942.56, 663,947.28 and 220,860

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Solution

The fourth proportional to 442,942.56, 663,947.28 and 220,860 is: 331,057.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,942.56 : 663,947.28 = 220,860 : x
  2. Step 2: Convert to fraction form
    442,942.56/663,947.28 = 220,860/x
  3. Step 3: Cross multiply
    442,942.56x = 663,947.28 × 220,860
  4. Step 4: Simplify right side
    442,942.56x = 146,639,396,260.80
  5. Step 5: Solve for x
    x = 146,639,396,260.80/442,942.56
  6. Step 6: Final answer
    x = 331,057.36

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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.