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Finding the Fourth Proportional to 275,162.88, 412,744.32 and 220,108.80

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Solution

The fourth proportional to 275,162.88, 412,744.32 and 220,108.80 is: 330,163.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,162.88 : 412,744.32 = 220,108.80 : x
  2. Step 2: Convert to fraction form
    275,162.88/412,744.32 = 220,108.80/x
  3. Step 3: Cross multiply
    275,162.88x = 412,744.32 × 220,108.80
  4. Step 4: Simplify right side
    275,162.88x = 90,848,656,982.02
  5. Step 5: Solve for x
    x = 90,848,656,982.02/275,162.88
  6. Step 6: Final answer
    x = 330,163.20

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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.