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Finding the Fourth Proportional to 221,983.20, 333,331.20 and 205,610.40

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Solution

The fourth proportional to 221,983.20, 333,331.20 and 205,610.40 is: 308,745.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,983.20 : 333,331.20 = 205,610.40 : x
  2. Step 2: Convert to fraction form
    221,983.20/333,331.20 = 205,610.40/x
  3. Step 3: Cross multiply
    221,983.20x = 333,331.20 × 205,610.40
  4. Step 4: Simplify right side
    221,983.20x = 68,536,361,364.48
  5. Step 5: Solve for x
    x = 68,536,361,364.48/221,983.20
  6. Step 6: Final answer
    x = 308,745.71

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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.