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Finding the Fourth Proportional to 259,722.30, 389,583.45 and 206,578.20

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Solution

The fourth proportional to 259,722.30, 389,583.45 and 206,578.20 is: 309,867.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,722.30 : 389,583.45 = 206,578.20 : x
  2. Step 2: Convert to fraction form
    259,722.30/389,583.45 = 206,578.20/x
  3. Step 3: Cross multiply
    259,722.30x = 389,583.45 × 206,578.20
  4. Step 4: Simplify right side
    259,722.30x = 80,479,447,850.79
  5. Step 5: Solve for x
    x = 80,479,447,850.79/259,722.30
  6. Step 6: Final answer
    x = 309,867.30

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Similar ratio
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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.