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Finding the Fourth Proportional to 269,456.97, 371,845.71 and 148,609.47

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Solution

The fourth proportional to 269,456.97, 371,845.71 and 148,609.47 is: 205,078.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,456.97 : 371,845.71 = 148,609.47 : x
  2. Step 2: Convert to fraction form
    269,456.97/371,845.71 = 148,609.47/x
  3. Step 3: Cross multiply
    269,456.97x = 371,845.71 × 148,609.47
  4. Step 4: Simplify right side
    269,456.97x = 55,259,793,884.87
  5. Step 5: Solve for x
    x = 55,259,793,884.87/269,456.97
  6. Step 6: Final answer
    x = 205,078.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.