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Finding the Fourth Proportional to 399,059.34, 550,796.13 and 229,391.88

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Solution

The fourth proportional to 399,059.34, 550,796.13 and 229,391.88 is: 316,614.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,059.34 : 550,796.13 = 229,391.88 : x
  2. Step 2: Convert to fraction form
    399,059.34/550,796.13 = 229,391.88/x
  3. Step 3: Cross multiply
    399,059.34x = 550,796.13 × 229,391.88
  4. Step 4: Simplify right side
    399,059.34x = 126,348,159,757.42
  5. Step 5: Solve for x
    x = 126,348,159,757.42/399,059.34
  6. Step 6: Final answer
    x = 316,614.97

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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.