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Finding the Fourth Proportional to 392,028.84, 541,123.14 and 222,375.72

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Solution

The fourth proportional to 392,028.84, 541,123.14 and 222,375.72 is: 306,948.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,028.84 : 541,123.14 = 222,375.72 : x
  2. Step 2: Convert to fraction form
    392,028.84/541,123.14 = 222,375.72/x
  3. Step 3: Cross multiply
    392,028.84x = 541,123.14 × 222,375.72
  4. Step 4: Simplify right side
    392,028.84x = 120,332,647,866.16
  5. Step 5: Solve for x
    x = 120,332,647,866.16/392,028.84
  6. Step 6: Final answer
    x = 306,948.46

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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.