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Finding the Fourth Proportional to 259,063.20, 387,938.70 and 206,575.20

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Solution

The fourth proportional to 259,063.20, 387,938.70 and 206,575.20 is: 309,339.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,063.20 : 387,938.70 = 206,575.20 : x
  2. Step 2: Convert to fraction form
    259,063.20/387,938.70 = 206,575.20/x
  3. Step 3: Cross multiply
    259,063.20x = 387,938.70 × 206,575.20
  4. Step 4: Simplify right side
    259,063.20x = 80,138,514,540.24
  5. Step 5: Solve for x
    x = 80,138,514,540.24/259,063.20
  6. Step 6: Final answer
    x = 309,339.63

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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.