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Finding the Fourth Proportional to 271,812.90, 407,559.78 and 82,216.20

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Solution

The fourth proportional to 271,812.90, 407,559.78 and 82,216.20 is: 123,276.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,812.90 : 407,559.78 = 82,216.20 : x
  2. Step 2: Convert to fraction form
    271,812.90/407,559.78 = 82,216.20/x
  3. Step 3: Cross multiply
    271,812.90x = 407,559.78 × 82,216.20
  4. Step 4: Simplify right side
    271,812.90x = 33,508,016,384.44
  5. Step 5: Solve for x
    x = 33,508,016,384.44/271,812.90
  6. Step 6: Final answer
    x = 123,276.03

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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.