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Finding the Fourth Proportional to 204,458.40, 306,687.60 and 148,471.20

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Solution

The fourth proportional to 204,458.40, 306,687.60 and 148,471.20 is: 222,706.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,458.40 : 306,687.60 = 148,471.20 : x
  2. Step 2: Convert to fraction form
    204,458.40/306,687.60 = 148,471.20/x
  3. Step 3: Cross multiply
    204,458.40x = 306,687.60 × 148,471.20
  4. Step 4: Simplify right side
    204,458.40x = 45,534,275,997.12
  5. Step 5: Solve for x
    x = 45,534,275,997.12/204,458.40
  6. Step 6: Final answer
    x = 222,706.80

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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.