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Finding the Fourth Proportional to 275,218.60, 412,439.10 and 203,582.20

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Solution

The fourth proportional to 275,218.60, 412,439.10 and 203,582.20 is: 305,085.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,218.60 : 412,439.10 = 203,582.20 : x
  2. Step 2: Convert to fraction form
    275,218.60/412,439.10 = 203,582.20/x
  3. Step 3: Cross multiply
    275,218.60x = 412,439.10 × 203,582.20
  4. Step 4: Simplify right side
    275,218.60x = 83,965,259,344.02
  5. Step 5: Solve for x
    x = 83,965,259,344.02/275,218.60
  6. Step 6: Final answer
    x = 305,085.70

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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.