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Finding the Fourth Proportional to 261,881.57, 392,517.70 and 149,640.48

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Solution

The fourth proportional to 261,881.57, 392,517.70 and 149,640.48 is: 224,286.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,881.57 : 392,517.70 = 149,640.48 : x
  2. Step 2: Convert to fraction form
    261,881.57/392,517.70 = 149,640.48/x
  3. Step 3: Cross multiply
    261,881.57x = 392,517.70 × 149,640.48
  4. Step 4: Simplify right side
    261,881.57x = 58,736,536,662.39
  5. Step 5: Solve for x
    x = 58,736,536,662.39/261,881.57
  6. Step 6: Final answer
    x = 224,286.63

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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.