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Finding the Fourth Proportional to 263,281.80, 395,052.30 and 200,080.20

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Solution

The fourth proportional to 263,281.80, 395,052.30 and 200,080.20 is: 300,218.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,281.80 : 395,052.30 = 200,080.20 : x
  2. Step 2: Convert to fraction form
    263,281.80/395,052.30 = 200,080.20/x
  3. Step 3: Cross multiply
    263,281.80x = 395,052.30 × 200,080.20
  4. Step 4: Simplify right side
    263,281.80x = 79,042,143,194.46
  5. Step 5: Solve for x
    x = 79,042,143,194.46/263,281.80
  6. Step 6: Final answer
    x = 300,218.79

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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.