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Finding the Fourth Proportional to 392,754.78, 542,005.20 and 222,992.52

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Solution

The fourth proportional to 392,754.78, 542,005.20 and 222,992.52 is: 307,731.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,754.78 : 542,005.20 = 222,992.52 : x
  2. Step 2: Convert to fraction form
    392,754.78/542,005.20 = 222,992.52/x
  3. Step 3: Cross multiply
    392,754.78x = 542,005.20 × 222,992.52
  4. Step 4: Simplify right side
    392,754.78x = 120,863,105,401.10
  5. Step 5: Solve for x
    x = 120,863,105,401.10/392,754.78
  6. Step 6: Final answer
    x = 307,731.72

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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.