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Finding the Fourth Proportional to 203,998.80, 306,082.56 and 162,319.44

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Solution

The fourth proportional to 203,998.80, 306,082.56 and 162,319.44 is: 243,546.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,998.80 : 306,082.56 = 162,319.44 : x
  2. Step 2: Convert to fraction form
    203,998.80/306,082.56 = 162,319.44/x
  3. Step 3: Cross multiply
    203,998.80x = 306,082.56 × 162,319.44
  4. Step 4: Simplify right side
    203,998.80x = 49,683,149,732.97
  5. Step 5: Solve for x
    x = 49,683,149,732.97/203,998.80
  6. Step 6: Final answer
    x = 243,546.28

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1.5x scale

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.