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Finding the Fourth Proportional to 271,900.80, 407,908.80 and 82,345.60

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Solution

The fourth proportional to 271,900.80, 407,908.80 and 82,345.60 is: 123,535.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,900.80 : 407,908.80 = 82,345.60 : x
  2. Step 2: Convert to fraction form
    271,900.80/407,908.80 = 82,345.60/x
  3. Step 3: Cross multiply
    271,900.80x = 407,908.80 × 82,345.60
  4. Step 4: Simplify right side
    271,900.80x = 33,589,494,881.28
  5. Step 5: Solve for x
    x = 33,589,494,881.28/271,900.80
  6. Step 6: Final answer
    x = 123,535.84

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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.