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Finding the Fourth Proportional to 442,198.60, 663,135.90 and 142,757.80

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Solution

The fourth proportional to 442,198.60, 663,135.90 and 142,757.80 is: 214,084.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,198.60 : 663,135.90 = 142,757.80 : x
  2. Step 2: Convert to fraction form
    442,198.60/663,135.90 = 142,757.80/x
  3. Step 3: Cross multiply
    442,198.60x = 663,135.90 × 142,757.80
  4. Step 4: Simplify right side
    442,198.60x = 94,667,822,185.02
  5. Step 5: Solve for x
    x = 94,667,822,185.02/442,198.60
  6. Step 6: Final answer
    x = 214,084.40

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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.