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Finding the Fourth Proportional to 277,481.56, 415,972.56 and 99,863.68

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Solution

The fourth proportional to 277,481.56, 415,972.56 and 99,863.68 is: 149,705.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,481.56 : 415,972.56 = 99,863.68 : x
  2. Step 2: Convert to fraction form
    277,481.56/415,972.56 = 99,863.68/x
  3. Step 3: Cross multiply
    277,481.56x = 415,972.56 × 99,863.68
  4. Step 4: Simplify right side
    277,481.56x = 41,540,550,620.62
  5. Step 5: Solve for x
    x = 41,540,550,620.62/277,481.56
  6. Step 6: Final answer
    x = 149,705.63

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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.