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Finding the Fourth Proportional to 271,808.54, 407,532.85 and 129,675.75

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Solution

The fourth proportional to 271,808.54, 407,532.85 and 129,675.75 is: 194,427.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,808.54 : 407,532.85 = 129,675.75 : x
  2. Step 2: Convert to fraction form
    271,808.54/407,532.85 = 129,675.75/x
  3. Step 3: Cross multiply
    271,808.54x = 407,532.85 × 129,675.75
  4. Step 4: Simplify right side
    271,808.54x = 52,847,125,287.34
  5. Step 5: Solve for x
    x = 52,847,125,287.34/271,808.54
  6. Step 6: Final answer
    x = 194,427.76

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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.