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Finding the Fourth Proportional to 259,712.80, 389,569.20 and 206,568.70

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Solution

The fourth proportional to 259,712.80, 389,569.20 and 206,568.70 is: 309,853.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,712.80 : 389,569.20 = 206,568.70 : x
  2. Step 2: Convert to fraction form
    259,712.80/389,569.20 = 206,568.70/x
  3. Step 3: Cross multiply
    259,712.80x = 389,569.20 × 206,568.70
  4. Step 4: Simplify right side
    259,712.80x = 80,472,803,204.04
  5. Step 5: Solve for x
    x = 80,472,803,204.04/259,712.80
  6. Step 6: Final answer
    x = 309,853.05

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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.