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Finding the Fourth Proportional to 392,506.98, 541,730.32 and 231,352.62

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Solution

The fourth proportional to 392,506.98, 541,730.32 and 231,352.62 is: 319,308.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,506.98 : 541,730.32 = 231,352.62 : x
  2. Step 2: Convert to fraction form
    392,506.98/541,730.32 = 231,352.62/x
  3. Step 3: Cross multiply
    392,506.98x = 541,730.32 × 231,352.62
  4. Step 4: Simplify right side
    392,506.98x = 125,330,728,865.44
  5. Step 5: Solve for x
    x = 125,330,728,865.44/392,506.98
  6. Step 6: Final answer
    x = 319,308.28

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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.