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Finding the Fourth Proportional to 281,121.20, 421,753.80 and 162,580.40

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Solution

The fourth proportional to 281,121.20, 421,753.80 and 162,580.40 is: 243,912.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,121.20 : 421,753.80 = 162,580.40 : x
  2. Step 2: Convert to fraction form
    281,121.20/421,753.80 = 162,580.40/x
  3. Step 3: Cross multiply
    281,121.20x = 421,753.80 × 162,580.40
  4. Step 4: Simplify right side
    281,121.20x = 68,568,901,505.52
  5. Step 5: Solve for x
    x = 68,568,901,505.52/281,121.20
  6. Step 6: Final answer
    x = 243,912.24

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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.