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Finding the Fourth Proportional to 392,117.30, 541,122.14 and 222,351.42

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Solution

The fourth proportional to 392,117.30, 541,122.14 and 222,351.42 is: 306,845.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,117.30 : 541,122.14 = 222,351.42 : x
  2. Step 2: Convert to fraction form
    392,117.30/541,122.14 = 222,351.42/x
  3. Step 3: Cross multiply
    392,117.30x = 541,122.14 × 222,351.42
  4. Step 4: Simplify right side
    392,117.30x = 120,319,276,778.32
  5. Step 5: Solve for x
    x = 120,319,276,778.32/392,117.30
  6. Step 6: Final answer
    x = 306,845.12

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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.