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Finding the Fourth Proportional to 392,168.16, 541,175.76 and 222,398.64

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Solution

The fourth proportional to 392,168.16, 541,175.76 and 222,398.64 is: 306,900.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,168.16 : 541,175.76 = 222,398.64 : x
  2. Step 2: Convert to fraction form
    392,168.16/541,175.76 = 222,398.64/x
  3. Step 3: Cross multiply
    392,168.16x = 541,175.76 × 222,398.64
  4. Step 4: Simplify right side
    392,168.16x = 120,356,753,024.97
  5. Step 5: Solve for x
    x = 120,356,753,024.97/392,168.16
  6. Step 6: Final answer
    x = 306,900.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.