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Finding the Fourth Proportional to 275,340.80, 412,962 and 72,938.40

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Solution

The fourth proportional to 275,340.80, 412,962 and 72,938.40 is: 109,394.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,340.80 : 412,962 = 72,938.40 : x
  2. Step 2: Convert to fraction form
    275,340.80/412,962 = 72,938.40/x
  3. Step 3: Cross multiply
    275,340.80x = 412,962 × 72,938.40
  4. Step 4: Simplify right side
    275,340.80x = 30,120,787,540.80
  5. Step 5: Solve for x
    x = 30,120,787,540.80/275,340.80
  6. Step 6: Final answer
    x = 109,394.57

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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.