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Finding the Fourth Proportional to 275,223.40, 412,911.90 and 134,986.60

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Solution

The fourth proportional to 275,223.40, 412,911.90 and 134,986.60 is: 202,517.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,223.40 : 412,911.90 = 134,986.60 : x
  2. Step 2: Convert to fraction form
    275,223.40/412,911.90 = 134,986.60/x
  3. Step 3: Cross multiply
    275,223.40x = 412,911.90 × 134,986.60
  4. Step 4: Simplify right side
    275,223.40x = 55,737,573,480.54
  5. Step 5: Solve for x
    x = 55,737,573,480.54/275,223.40
  6. Step 6: Final answer
    x = 202,517.57

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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.