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Finding the Fourth Proportional to 281,073.80, 420,735.90 and 162,392.60

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Solution

The fourth proportional to 281,073.80, 420,735.90 and 162,392.60 is: 243,083.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,073.80 : 420,735.90 = 162,392.60 : x
  2. Step 2: Convert to fraction form
    281,073.80/420,735.90 = 162,392.60/x
  3. Step 3: Cross multiply
    281,073.80x = 420,735.90 × 162,392.60
  4. Step 4: Simplify right side
    281,073.80x = 68,324,396,714.34
  5. Step 5: Solve for x
    x = 68,324,396,714.34/281,073.80
  6. Step 6: Final answer
    x = 243,083.48

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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.