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Finding the Fourth Proportional to 438,695.97, 658,043.96 and 158,213.22

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Solution

The fourth proportional to 438,695.97, 658,043.96 and 158,213.22 is: 237,319.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,695.97 : 658,043.96 = 158,213.22 : x
  2. Step 2: Convert to fraction form
    438,695.97/658,043.96 = 158,213.22/x
  3. Step 3: Cross multiply
    438,695.97x = 658,043.96 × 158,213.22
  4. Step 4: Simplify right side
    438,695.97x = 104,111,253,022.09
  5. Step 5: Solve for x
    x = 104,111,253,022.09/438,695.97
  6. Step 6: Final answer
    x = 237,319.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.