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Finding the Fourth Proportional to 392,497.76, 541,505.18 and 222,633.48

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Solution

The fourth proportional to 392,497.76, 541,505.18 and 222,633.48 is: 307,153.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,497.76 : 541,505.18 = 222,633.48 : x
  2. Step 2: Convert to fraction form
    392,497.76/541,505.18 = 222,633.48/x
  3. Step 3: Cross multiply
    392,497.76x = 541,505.18 × 222,633.48
  4. Step 4: Simplify right side
    392,497.76x = 120,557,182,661.43
  5. Step 5: Solve for x
    x = 120,557,182,661.43/392,497.76
  6. Step 6: Final answer
    x = 307,153.81

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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.