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Finding the Fourth Proportional to 438,718.97, 658,078.65 and 158,236.22

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Solution

The fourth proportional to 438,718.97, 658,078.65 and 158,236.22 is: 237,354.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,718.97 : 658,078.65 = 158,236.22 : x
  2. Step 2: Convert to fraction form
    438,718.97/658,078.65 = 158,236.22/x
  3. Step 3: Cross multiply
    438,718.97x = 658,078.65 × 158,236.22
  4. Step 4: Simplify right side
    438,718.97x = 104,131,874,748.31
  5. Step 5: Solve for x
    x = 104,131,874,748.31/438,718.97
  6. Step 6: Final answer
    x = 237,354.40

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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.