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Finding the Fourth Proportional to 259,884.80, 389,827.20 and 126,850.40

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Solution

The fourth proportional to 259,884.80, 389,827.20 and 126,850.40 is: 190,275.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,884.80 : 389,827.20 = 126,850.40 : x
  2. Step 2: Convert to fraction form
    259,884.80/389,827.20 = 126,850.40/x
  3. Step 3: Cross multiply
    259,884.80x = 389,827.20 × 126,850.40
  4. Step 4: Simplify right side
    259,884.80x = 49,449,736,250.88
  5. Step 5: Solve for x
    x = 49,449,736,250.88/259,884.80
  6. Step 6: Final answer
    x = 190,275.60

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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.