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Finding the Fourth Proportional to 230,662.89, 318,193.92 and 200,380.23

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Solution

The fourth proportional to 230,662.89, 318,193.92 and 200,380.23 is: 276,419.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,662.89 : 318,193.92 = 200,380.23 : x
  2. Step 2: Convert to fraction form
    230,662.89/318,193.92 = 200,380.23/x
  3. Step 3: Cross multiply
    230,662.89x = 318,193.92 × 200,380.23
  4. Step 4: Simplify right side
    230,662.89x = 63,759,770,874.20
  5. Step 5: Solve for x
    x = 63,759,770,874.20/230,662.89
  6. Step 6: Final answer
    x = 276,419.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.