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Finding the Fourth Proportional to 274,598.60, 412,140.90 and 162,138.20

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Solution

The fourth proportional to 274,598.60, 412,140.90 and 162,138.20 is: 243,350.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,598.60 : 412,140.90 = 162,138.20 : x
  2. Step 2: Convert to fraction form
    274,598.60/412,140.90 = 162,138.20/x
  3. Step 3: Cross multiply
    274,598.60x = 412,140.90 × 162,138.20
  4. Step 4: Simplify right side
    274,598.60x = 66,823,783,672.38
  5. Step 5: Solve for x
    x = 66,823,783,672.38/274,598.60
  6. Step 6: Final answer
    x = 243,350.78

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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.