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Finding the Fourth Proportional to 392,524.80, 541,653.42 and 222,758.88

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Solution

The fourth proportional to 392,524.80, 541,653.42 and 222,758.88 is: 307,389.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,524.80 : 541,653.42 = 222,758.88 : x
  2. Step 2: Convert to fraction form
    392,524.80/541,653.42 = 222,758.88/x
  3. Step 3: Cross multiply
    392,524.80x = 541,653.42 × 222,758.88
  4. Step 4: Simplify right side
    392,524.80x = 120,658,109,187.37
  5. Step 5: Solve for x
    x = 120,658,109,187.37/392,524.80
  6. Step 6: Final answer
    x = 307,389.77

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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.