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Finding the Fourth Proportional to 392,465.28, 541,803.84 and 231,372.48

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Solution

The fourth proportional to 392,465.28, 541,803.84 and 231,372.48 is: 319,412.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,465.28 : 541,803.84 = 231,372.48 : x
  2. Step 2: Convert to fraction form
    392,465.28/541,803.84 = 231,372.48/x
  3. Step 3: Cross multiply
    392,465.28x = 541,803.84 × 231,372.48
  4. Step 4: Simplify right side
    392,465.28x = 125,358,498,134.32
  5. Step 5: Solve for x
    x = 125,358,498,134.32/392,465.28
  6. Step 6: Final answer
    x = 319,412.96

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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.