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Finding the Fourth Proportional to 275,459.40, 413,189.10 and 204,600.60

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Solution

The fourth proportional to 275,459.40, 413,189.10 and 204,600.60 is: 306,900.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,459.40 : 413,189.10 = 204,600.60 : x
  2. Step 2: Convert to fraction form
    275,459.40/413,189.10 = 204,600.60/x
  3. Step 3: Cross multiply
    275,459.40x = 413,189.10 × 204,600.60
  4. Step 4: Simplify right side
    275,459.40x = 84,538,737,773.46
  5. Step 5: Solve for x
    x = 84,538,737,773.46/275,459.40
  6. Step 6: Final answer
    x = 306,900.90

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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.