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Finding the Fourth Proportional to 392,234.96, 541,286.60 and 213,388.24

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Solution

The fourth proportional to 392,234.96, 541,286.60 and 213,388.24 is: 294,477.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,234.96 : 541,286.60 = 213,388.24 : x
  2. Step 2: Convert to fraction form
    392,234.96/541,286.60 = 213,388.24/x
  3. Step 3: Cross multiply
    392,234.96x = 541,286.60 × 213,388.24
  4. Step 4: Simplify right side
    392,234.96x = 115,504,194,909.58
  5. Step 5: Solve for x
    x = 115,504,194,909.58/392,234.96
  6. Step 6: Final answer
    x = 294,477.05

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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.