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Finding the Fourth Proportional to 538,951.18, 807,708.42 and 254,717.20

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Solution

The fourth proportional to 538,951.18, 807,708.42 and 254,717.20 is: 381,736.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,951.18 : 807,708.42 = 254,717.20 : x
  2. Step 2: Convert to fraction form
    538,951.18/807,708.42 = 254,717.20/x
  3. Step 3: Cross multiply
    538,951.18x = 807,708.42 × 254,717.20
  4. Step 4: Simplify right side
    538,951.18x = 205,737,227,158.82
  5. Step 5: Solve for x
    x = 205,737,227,158.82/538,951.18
  6. Step 6: Final answer
    x = 381,736.30

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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.