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Finding the Fourth Proportional to 538,665.80, 807,997.28 and 159,616.17

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Solution

The fourth proportional to 538,665.80, 807,997.28 and 159,616.17 is: 239,423.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,665.80 : 807,997.28 = 159,616.17 : x
  2. Step 2: Convert to fraction form
    538,665.80/807,997.28 = 159,616.17/x
  3. Step 3: Cross multiply
    538,665.80x = 807,997.28 × 159,616.17
  4. Step 4: Simplify right side
    538,665.80x = 128,969,430,405.94
  5. Step 5: Solve for x
    x = 128,969,430,405.94/538,665.80
  6. Step 6: Final answer
    x = 239,423.83

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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.