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Finding the Fourth Proportional to 271,987.04, 408,144.72 and 193,751.84

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Solution

The fourth proportional to 271,987.04, 408,144.72 and 193,751.84 is: 290,744.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,987.04 : 408,144.72 = 193,751.84 : x
  2. Step 2: Convert to fraction form
    271,987.04/408,144.72 = 193,751.84/x
  3. Step 3: Cross multiply
    271,987.04x = 408,144.72 × 193,751.84
  4. Step 4: Simplify right side
    271,987.04x = 79,078,790,486.28
  5. Step 5: Solve for x
    x = 79,078,790,486.28/271,987.04
  6. Step 6: Final answer
    x = 290,744.70

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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.