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Finding the Fourth Proportional to 643,691.20, 965,767.20 and 269,828.80

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Solution

The fourth proportional to 643,691.20, 965,767.20 and 269,828.80 is: 404,839.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,691.20 : 965,767.20 = 269,828.80 : x
  2. Step 2: Convert to fraction form
    643,691.20/965,767.20 = 269,828.80/x
  3. Step 3: Cross multiply
    643,691.20x = 965,767.20 × 269,828.80
  4. Step 4: Simplify right side
    643,691.20x = 260,591,804,655.36
  5. Step 5: Solve for x
    x = 260,591,804,655.36/643,691.20
  6. Step 6: Final answer
    x = 404,839.78

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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.