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Finding the Fourth Proportional to 259,540.80, 389,368.80 and 119,265.60

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Solution

The fourth proportional to 259,540.80, 389,368.80 and 119,265.60 is: 178,924.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,540.80 : 389,368.80 = 119,265.60 : x
  2. Step 2: Convert to fraction form
    259,540.80/389,368.80 = 119,265.60/x
  3. Step 3: Cross multiply
    259,540.80x = 389,368.80 × 119,265.60
  4. Step 4: Simplify right side
    259,540.80x = 46,438,303,553.28
  5. Step 5: Solve for x
    x = 46,438,303,553.28/259,540.80
  6. Step 6: Final answer
    x = 178,924.87

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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.