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Finding the Fourth Proportional to 281,206.20, 421,153.20 and 275,568.60

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Solution

The fourth proportional to 281,206.20, 421,153.20 and 275,568.60 is: 412,709.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,206.20 : 421,153.20 = 275,568.60 : x
  2. Step 2: Convert to fraction form
    281,206.20/421,153.20 = 275,568.60/x
  3. Step 3: Cross multiply
    281,206.20x = 421,153.20 × 275,568.60
  4. Step 4: Simplify right side
    281,206.20x = 116,056,597,709.52
  5. Step 5: Solve for x
    x = 116,056,597,709.52/281,206.20
  6. Step 6: Final answer
    x = 412,709.95

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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.