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Finding the Fourth Proportional to 275,797.20, 413,322.09 and 142,770.85

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Solution

The fourth proportional to 275,797.20, 413,322.09 and 142,770.85 is: 213,962.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,797.20 : 413,322.09 = 142,770.85 : x
  2. Step 2: Convert to fraction form
    275,797.20/413,322.09 = 142,770.85/x
  3. Step 3: Cross multiply
    275,797.20x = 413,322.09 × 142,770.85
  4. Step 4: Simplify right side
    275,797.20x = 59,010,347,672.40
  5. Step 5: Solve for x
    x = 59,010,347,672.40/275,797.20
  6. Step 6: Final answer
    x = 213,962.82

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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.