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Finding the Fourth Proportional to 269,629.20, 404,443.80 and 185,648.40

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Solution

The fourth proportional to 269,629.20, 404,443.80 and 185,648.40 is: 278,472.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,629.20 : 404,443.80 = 185,648.40 : x
  2. Step 2: Convert to fraction form
    269,629.20/404,443.80 = 185,648.40/x
  3. Step 3: Cross multiply
    269,629.20x = 404,443.80 × 185,648.40
  4. Step 4: Simplify right side
    269,629.20x = 75,084,344,359.92
  5. Step 5: Solve for x
    x = 75,084,344,359.92/269,629.20
  6. Step 6: Final answer
    x = 278,472.60

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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.