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Finding the Fourth Proportional to 275,885.43, 413,819.85 and 76,217.76

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Solution

The fourth proportional to 275,885.43, 413,819.85 and 76,217.76 is: 114,324.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,885.43 : 413,819.85 = 76,217.76 : x
  2. Step 2: Convert to fraction form
    275,885.43/413,819.85 = 76,217.76/x
  3. Step 3: Cross multiply
    275,885.43x = 413,819.85 × 76,217.76
  4. Step 4: Simplify right side
    275,885.43x = 31,540,422,010.54
  5. Step 5: Solve for x
    x = 31,540,422,010.54/275,885.43
  6. Step 6: Final answer
    x = 114,324.35

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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.