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Finding the Fourth Proportional to 269,711.60, 404,680.80 and 144,906.80

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Solution

The fourth proportional to 269,711.60, 404,680.80 and 144,906.80 is: 217,421.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,711.60 : 404,680.80 = 144,906.80 : x
  2. Step 2: Convert to fraction form
    269,711.60/404,680.80 = 144,906.80/x
  3. Step 3: Cross multiply
    269,711.60x = 404,680.80 × 144,906.80
  4. Step 4: Simplify right side
    269,711.60x = 58,640,999,749.44
  5. Step 5: Solve for x
    x = 58,640,999,749.44/269,711.60
  6. Step 6: Final answer
    x = 217,421.13

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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.