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Finding the Fourth Proportional to 438,735.97, 658,104.09 and 158,253.22

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Solution

The fourth proportional to 438,735.97, 658,104.09 and 158,253.22 is: 237,379.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,735.97 : 658,104.09 = 158,253.22 : x
  2. Step 2: Convert to fraction form
    438,735.97/658,104.09 = 158,253.22/x
  3. Step 3: Cross multiply
    438,735.97x = 658,104.09 × 158,253.22
  4. Step 4: Simplify right side
    438,735.97x = 104,147,091,337.67
  5. Step 5: Solve for x
    x = 104,147,091,337.67/438,735.97
  6. Step 6: Final answer
    x = 237,379.88

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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.