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Finding the Fourth Proportional to 442,737.84, 663,712.28 and 162,189.48

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Solution

The fourth proportional to 442,737.84, 663,712.28 and 162,189.48 is: 243,139.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,737.84 : 663,712.28 = 162,189.48 : x
  2. Step 2: Convert to fraction form
    442,737.84/663,712.28 = 162,189.48/x
  3. Step 3: Cross multiply
    442,737.84x = 663,712.28 × 162,189.48
  4. Step 4: Simplify right side
    442,737.84x = 107,647,149,562.81
  5. Step 5: Solve for x
    x = 107,647,149,562.81/442,737.84
  6. Step 6: Final answer
    x = 243,139.71

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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.