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Finding the Fourth Proportional to 577,141.60, 865,129.20 and 261,824.80

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Solution

The fourth proportional to 577,141.60, 865,129.20 and 261,824.80 is: 392,472.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,141.60 : 865,129.20 = 261,824.80 : x
  2. Step 2: Convert to fraction form
    577,141.60/865,129.20 = 261,824.80/x
  3. Step 3: Cross multiply
    577,141.60x = 865,129.20 × 261,824.80
  4. Step 4: Simplify right side
    577,141.60x = 226,512,279,764.16
  5. Step 5: Solve for x
    x = 226,512,279,764.16/577,141.60
  6. Step 6: Final answer
    x = 392,472.63

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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.