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Finding the Fourth Proportional to 281,132.20, 421,042.20 and 275,494.60

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Solution

The fourth proportional to 281,132.20, 421,042.20 and 275,494.60 is: 412,598.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,132.20 : 421,042.20 = 275,494.60 : x
  2. Step 2: Convert to fraction form
    281,132.20/421,042.20 = 275,494.60/x
  3. Step 3: Cross multiply
    281,132.20x = 421,042.20 × 275,494.60
  4. Step 4: Simplify right side
    281,132.20x = 115,994,852,472.12
  5. Step 5: Solve for x
    x = 115,994,852,472.12/281,132.20
  6. Step 6: Final answer
    x = 412,598.96

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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.