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Finding the Fourth Proportional to 392,739, 541,979.82 and 213,891

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Solution

The fourth proportional to 392,739, 541,979.82 and 213,891 is: 295,169.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,739 : 541,979.82 = 213,891 : x
  2. Step 2: Convert to fraction form
    392,739/541,979.82 = 213,891/x
  3. Step 3: Cross multiply
    392,739x = 541,979.82 × 213,891
  4. Step 4: Simplify right side
    392,739x = 115,924,605,679.62
  5. Step 5: Solve for x
    x = 115,924,605,679.62/392,739
  6. Step 6: Final answer
    x = 295,169.58

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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.