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Finding the Fourth Proportional to 442,627.70, 663,855.15 and 147,139.70

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Solution

The fourth proportional to 442,627.70, 663,855.15 and 147,139.70 is: 220,680.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,627.70 : 663,855.15 = 147,139.70 : x
  2. Step 2: Convert to fraction form
    442,627.70/663,855.15 = 147,139.70/x
  3. Step 3: Cross multiply
    442,627.70x = 663,855.15 × 147,139.70
  4. Step 4: Simplify right side
    442,627.70x = 97,679,447,614.46
  5. Step 5: Solve for x
    x = 97,679,447,614.46/442,627.70
  6. Step 6: Final answer
    x = 220,680.83

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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.