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Finding the Fourth Proportional to 271,764.80, 407,661.40 and 82,220.40

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Solution

The fourth proportional to 271,764.80, 407,661.40 and 82,220.40 is: 123,334.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,764.80 : 407,661.40 = 82,220.40 : x
  2. Step 2: Convert to fraction form
    271,764.80/407,661.40 = 82,220.40/x
  3. Step 3: Cross multiply
    271,764.80x = 407,661.40 × 82,220.40
  4. Step 4: Simplify right side
    271,764.80x = 33,518,083,372.56
  5. Step 5: Solve for x
    x = 33,518,083,372.56/271,764.80
  6. Step 6: Final answer
    x = 123,334.90

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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.