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Finding the Fourth Proportional to 258,179.97, 386,441.16 and 137,936.44

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Solution

The fourth proportional to 258,179.97, 386,441.16 and 137,936.44 is: 206,461.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,179.97 : 386,441.16 = 137,936.44 : x
  2. Step 2: Convert to fraction form
    258,179.97/386,441.16 = 137,936.44/x
  3. Step 3: Cross multiply
    258,179.97x = 386,441.16 × 137,936.44
  4. Step 4: Simplify right side
    258,179.97x = 53,304,317,879.87
  5. Step 5: Solve for x
    x = 53,304,317,879.87/258,179.97
  6. Step 6: Final answer
    x = 206,461.86

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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.