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Finding the Fourth Proportional to 274,734.80, 412,102.20 and 195,419.60

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Solution

The fourth proportional to 274,734.80, 412,102.20 and 195,419.60 is: 293,129.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,734.80 : 412,102.20 = 195,419.60 : x
  2. Step 2: Convert to fraction form
    274,734.80/412,102.20 = 195,419.60/x
  3. Step 3: Cross multiply
    274,734.80x = 412,102.20 × 195,419.60
  4. Step 4: Simplify right side
    274,734.80x = 80,532,847,083.12
  5. Step 5: Solve for x
    x = 80,532,847,083.12/274,734.80
  6. Step 6: Final answer
    x = 293,129.40

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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.