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Finding the Fourth Proportional to 442,146.54, 663,348.96 and 142,620.48

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Solution

The fourth proportional to 442,146.54, 663,348.96 and 142,620.48 is: 213,972.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,146.54 : 663,348.96 = 142,620.48 : x
  2. Step 2: Convert to fraction form
    442,146.54/663,348.96 = 142,620.48/x
  3. Step 3: Cross multiply
    442,146.54x = 663,348.96 × 142,620.48
  4. Step 4: Simplify right side
    442,146.54x = 94,607,147,082.70
  5. Step 5: Solve for x
    x = 94,607,147,082.70/442,146.54
  6. Step 6: Final answer
    x = 213,972.38

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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.