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Finding the Fourth Proportional to 392,069.43, 541,791.32 and 320,423.31

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Solution

The fourth proportional to 392,069.43, 541,791.32 and 320,423.31 is: 442,785.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,069.43 : 541,791.32 = 320,423.31 : x
  2. Step 2: Convert to fraction form
    392,069.43/541,791.32 = 320,423.31/x
  3. Step 3: Cross multiply
    392,069.43x = 541,791.32 × 320,423.31
  4. Step 4: Simplify right side
    392,069.43x = 173,602,566,481.55
  5. Step 5: Solve for x
    x = 173,602,566,481.55/392,069.43
  6. Step 6: Final answer
    x = 442,785.27

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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.