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Finding the Fourth Proportional to 538,356.25, 807,255.02 and 159,227.15

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Solution

The fourth proportional to 538,356.25, 807,255.02 and 159,227.15 is: 238,758.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,356.25 : 807,255.02 = 159,227.15 : x
  2. Step 2: Convert to fraction form
    538,356.25/807,255.02 = 159,227.15/x
  3. Step 3: Cross multiply
    538,356.25x = 807,255.02 × 159,227.15
  4. Step 4: Simplify right side
    538,356.25x = 128,536,919,682.30
  5. Step 5: Solve for x
    x = 128,536,919,682.30/538,356.25
  6. Step 6: Final answer
    x = 238,758.11

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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.