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Finding the Fourth Proportional to 274,921.76, 412,447.22 and 85,372.36

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Solution

The fourth proportional to 274,921.76, 412,447.22 and 85,372.36 is: 128,078.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,921.76 : 412,447.22 = 85,372.36 : x
  2. Step 2: Convert to fraction form
    274,921.76/412,447.22 = 85,372.36/x
  3. Step 3: Cross multiply
    274,921.76x = 412,447.22 × 85,372.36
  4. Step 4: Simplify right side
    274,921.76x = 35,211,592,546.84
  5. Step 5: Solve for x
    x = 35,211,592,546.84/274,921.76
  6. Step 6: Final answer
    x = 128,078.59

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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.