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Finding the Fourth Proportional to 269,780.80, 404,930.40 and 136,811.20

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Solution

The fourth proportional to 269,780.80, 404,930.40 and 136,811.20 is: 205,348.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,780.80 : 404,930.40 = 136,811.20 : x
  2. Step 2: Convert to fraction form
    269,780.80/404,930.40 = 136,811.20/x
  3. Step 3: Cross multiply
    269,780.80x = 404,930.40 × 136,811.20
  4. Step 4: Simplify right side
    269,780.80x = 55,399,013,940.48
  5. Step 5: Solve for x
    x = 55,399,013,940.48/269,780.80
  6. Step 6: Final answer
    x = 205,348.25

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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.