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Finding the Fourth Proportional to 259,999.40, 389,634.60 and 206,782.40

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Solution

The fourth proportional to 259,999.40, 389,634.60 and 206,782.40 is: 309,883.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,999.40 : 389,634.60 = 206,782.40 : x
  2. Step 2: Convert to fraction form
    259,999.40/389,634.60 = 206,782.40/x
  3. Step 3: Cross multiply
    259,999.40x = 389,634.60 × 206,782.40
  4. Step 4: Simplify right side
    259,999.40x = 80,569,577,711.04
  5. Step 5: Solve for x
    x = 80,569,577,711.04/259,999.40
  6. Step 6: Final answer
    x = 309,883.71

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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.