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Finding the Fourth Proportional to 259,708.80, 389,294.40 and 141,129.60

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Solution

The fourth proportional to 259,708.80, 389,294.40 and 141,129.60 is: 211,548.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,708.80 : 389,294.40 = 141,129.60 : x
  2. Step 2: Convert to fraction form
    259,708.80/389,294.40 = 141,129.60/x
  3. Step 3: Cross multiply
    259,708.80x = 389,294.40 × 141,129.60
  4. Step 4: Simplify right side
    259,708.80x = 54,940,962,954.24
  5. Step 5: Solve for x
    x = 54,940,962,954.24/259,708.80
  6. Step 6: Final answer
    x = 211,548.33

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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.