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Finding the Fourth Proportional to 259,794.12, 389,697.08 and 206,522.90

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Solution

The fourth proportional to 259,794.12, 389,697.08 and 206,522.90 is: 309,789.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,794.12 : 389,697.08 = 206,522.90 : x
  2. Step 2: Convert to fraction form
    259,794.12/389,697.08 = 206,522.90/x
  3. Step 3: Cross multiply
    259,794.12x = 389,697.08 × 206,522.90
  4. Step 4: Simplify right side
    259,794.12x = 80,481,371,755.44
  5. Step 5: Solve for x
    x = 80,481,371,755.44/259,794.12
  6. Step 6: Final answer
    x = 309,789.04

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1.5x scale

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.