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Finding the Fourth Proportional to 408,974.10, 613,461.15 and 259,383.30

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Solution

The fourth proportional to 408,974.10, 613,461.15 and 259,383.30 is: 389,074.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,974.10 : 613,461.15 = 259,383.30 : x
  2. Step 2: Convert to fraction form
    408,974.10/613,461.15 = 259,383.30/x
  3. Step 3: Cross multiply
    408,974.10x = 613,461.15 × 259,383.30
  4. Step 4: Simplify right side
    408,974.10x = 159,121,577,508.80
  5. Step 5: Solve for x
    x = 159,121,577,508.80/408,974.10
  6. Step 6: Final answer
    x = 389,074.95

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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.