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Finding the Fourth Proportional to 295,046.70, 442,714.05 and 137,193.90

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Solution

The fourth proportional to 295,046.70, 442,714.05 and 137,193.90 is: 205,857.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,046.70 : 442,714.05 = 137,193.90 : x
  2. Step 2: Convert to fraction form
    295,046.70/442,714.05 = 137,193.90/x
  3. Step 3: Cross multiply
    295,046.70x = 442,714.05 × 137,193.90
  4. Step 4: Simplify right side
    295,046.70x = 60,737,667,104.30
  5. Step 5: Solve for x
    x = 60,737,667,104.30/295,046.70
  6. Step 6: Final answer
    x = 205,857.81

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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.