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Finding the Fourth Proportional to 271,757.40, 407,476.53 and 82,160.70

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Solution

The fourth proportional to 271,757.40, 407,476.53 and 82,160.70 is: 123,192.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,757.40 : 407,476.53 = 82,160.70 : x
  2. Step 2: Convert to fraction form
    271,757.40/407,476.53 = 82,160.70/x
  3. Step 3: Cross multiply
    271,757.40x = 407,476.53 × 82,160.70
  4. Step 4: Simplify right side
    271,757.40x = 33,478,556,938.37
  5. Step 5: Solve for x
    x = 33,478,556,938.37/271,757.40
  6. Step 6: Final answer
    x = 123,192.81

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1.5x scale

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.