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Finding the Fourth Proportional to 259,447.20, 388,514.70 and 206,959.20

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Solution

The fourth proportional to 259,447.20, 388,514.70 and 206,959.20 is: 309,915.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,447.20 : 388,514.70 = 206,959.20 : x
  2. Step 2: Convert to fraction form
    259,447.20/388,514.70 = 206,959.20/x
  3. Step 3: Cross multiply
    259,447.20x = 388,514.70 × 206,959.20
  4. Step 4: Simplify right side
    259,447.20x = 80,406,691,500.24
  5. Step 5: Solve for x
    x = 80,406,691,500.24/259,447.20
  6. Step 6: Final answer
    x = 309,915.43

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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.