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Finding the Fourth Proportional to 321,944.85, 444,193.85 and 201,208.78

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Solution

The fourth proportional to 321,944.85, 444,193.85 and 201,208.78 is: 277,611.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,944.85 : 444,193.85 = 201,208.78 : x
  2. Step 2: Convert to fraction form
    321,944.85/444,193.85 = 201,208.78/x
  3. Step 3: Cross multiply
    321,944.85x = 444,193.85 × 201,208.78
  4. Step 4: Simplify right side
    321,944.85x = 89,375,702,642.00
  5. Step 5: Solve for x
    x = 89,375,702,642.00/321,944.85
  6. Step 6: Final answer
    x = 277,611.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.