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Finding the Fourth Proportional to 442,944.56, 663,950.28 and 220,862

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Solution

The fourth proportional to 442,944.56, 663,950.28 and 220,862 is: 331,060.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,944.56 : 663,950.28 = 220,862 : x
  2. Step 2: Convert to fraction form
    442,944.56/663,950.28 = 220,862/x
  3. Step 3: Cross multiply
    442,944.56x = 663,950.28 × 220,862
  4. Step 4: Simplify right side
    442,944.56x = 146,641,386,741.36
  5. Step 5: Solve for x
    x = 146,641,386,741.36/442,944.56
  6. Step 6: Final answer
    x = 331,060.36

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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.