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Finding the Fourth Proportional to 259,969.40, 389,589.60 and 206,752.40

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Solution

The fourth proportional to 259,969.40, 389,589.60 and 206,752.40 is: 309,838.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,969.40 : 389,589.60 = 206,752.40 : x
  2. Step 2: Convert to fraction form
    259,969.40/389,589.60 = 206,752.40/x
  3. Step 3: Cross multiply
    259,969.40x = 389,589.60 × 206,752.40
  4. Step 4: Simplify right side
    259,969.40x = 80,548,584,815.04
  5. Step 5: Solve for x
    x = 80,548,584,815.04/259,969.40
  6. Step 6: Final answer
    x = 309,838.71

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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.