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Finding the Fourth Proportional to 259,496.80, 388,942.80 and 119,269.60

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Solution

The fourth proportional to 259,496.80, 388,942.80 and 119,269.60 is: 178,765.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,496.80 : 388,942.80 = 119,269.60 : x
  2. Step 2: Convert to fraction form
    259,496.80/388,942.80 = 119,269.60/x
  3. Step 3: Cross multiply
    259,496.80x = 388,942.80 × 119,269.60
  4. Step 4: Simplify right side
    259,496.80x = 46,389,052,178.88
  5. Step 5: Solve for x
    x = 46,389,052,178.88/259,496.80
  6. Step 6: Final answer
    x = 178,765.41

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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.