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Finding the Fourth Proportional to 392,421.78, 541,645.61 and 231,384.11

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Solution

The fourth proportional to 392,421.78, 541,645.61 and 231,384.11 is: 319,371.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,421.78 : 541,645.61 = 231,384.11 : x
  2. Step 2: Convert to fraction form
    392,421.78/541,645.61 = 231,384.11/x
  3. Step 3: Cross multiply
    392,421.78x = 541,645.61 × 231,384.11
  4. Step 4: Simplify right side
    392,421.78x = 125,328,183,540.11
  5. Step 5: Solve for x
    x = 125,328,183,540.11/392,421.78
  6. Step 6: Final answer
    x = 319,371.12

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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.