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Finding the Fourth Proportional to 271,480.90, 408,096.15 and 193,137.70

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Solution

The fourth proportional to 271,480.90, 408,096.15 and 193,137.70 is: 290,328.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,480.90 : 408,096.15 = 193,137.70 : x
  2. Step 2: Convert to fraction form
    271,480.90/408,096.15 = 193,137.70/x
  3. Step 3: Cross multiply
    271,480.90x = 408,096.15 × 193,137.70
  4. Step 4: Simplify right side
    271,480.90x = 78,818,751,789.86
  5. Step 5: Solve for x
    x = 78,818,751,789.86/271,480.90
  6. Step 6: Final answer
    x = 290,328.90

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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.