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Finding the Fourth Proportional to 258,466.32, 387,512.10 and 80,876.88

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Solution

The fourth proportional to 258,466.32, 387,512.10 and 80,876.88 is: 121,256.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,466.32 : 387,512.10 = 80,876.88 : x
  2. Step 2: Convert to fraction form
    258,466.32/387,512.10 = 80,876.88/x
  3. Step 3: Cross multiply
    258,466.32x = 387,512.10 × 80,876.88
  4. Step 4: Simplify right side
    258,466.32x = 31,340,769,610.25
  5. Step 5: Solve for x
    x = 31,340,769,610.25/258,466.32
  6. Step 6: Final answer
    x = 121,256.69

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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.