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Finding the Fourth Proportional to 548,857.10, 821,672.85 and 409,234.70

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Solution

The fourth proportional to 548,857.10, 821,672.85 and 409,234.70 is: 612,649.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,857.10 : 821,672.85 = 409,234.70 : x
  2. Step 2: Convert to fraction form
    548,857.10/821,672.85 = 409,234.70/x
  3. Step 3: Cross multiply
    548,857.10x = 821,672.85 × 409,234.70
  4. Step 4: Simplify right side
    548,857.10x = 336,257,042,267.90
  5. Step 5: Solve for x
    x = 336,257,042,267.90/548,857.10
  6. Step 6: Final answer
    x = 612,649.53

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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.