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Finding the Fourth Proportional to 281,202.20, 421,147.20 and 275,564.60

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Solution

The fourth proportional to 281,202.20, 421,147.20 and 275,564.60 is: 412,703.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,202.20 : 421,147.20 = 275,564.60 : x
  2. Step 2: Convert to fraction form
    281,202.20/421,147.20 = 275,564.60/x
  3. Step 3: Cross multiply
    281,202.20x = 421,147.20 × 275,564.60
  4. Step 4: Simplify right side
    281,202.20x = 116,053,259,709.12
  5. Step 5: Solve for x
    x = 116,053,259,709.12/281,202.20
  6. Step 6: Final answer
    x = 412,703.95

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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.