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Finding the Fourth Proportional to 548,856.60, 821,672.10 and 409,234.20

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Solution

The fourth proportional to 548,856.60, 821,672.10 and 409,234.20 is: 612,648.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,856.60 : 821,672.10 = 409,234.20 : x
  2. Step 2: Convert to fraction form
    548,856.60/821,672.10 = 409,234.20/x
  3. Step 3: Cross multiply
    548,856.60x = 821,672.10 × 409,234.20
  4. Step 4: Simplify right side
    548,856.60x = 336,256,324,505.82
  5. Step 5: Solve for x
    x = 336,256,324,505.82/548,856.60
  6. Step 6: Final answer
    x = 612,648.78

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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.