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Finding the Fourth Proportional to 271,403.60, 406,990.20 and 131,205.20

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Solution

The fourth proportional to 271,403.60, 406,990.20 and 131,205.20 is: 196,752.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,403.60 : 406,990.20 = 131,205.20 : x
  2. Step 2: Convert to fraction form
    271,403.60/406,990.20 = 131,205.20/x
  3. Step 3: Cross multiply
    271,403.60x = 406,990.20 × 131,205.20
  4. Step 4: Simplify right side
    271,403.60x = 53,399,230,589.04
  5. Step 5: Solve for x
    x = 53,399,230,589.04/271,403.60
  6. Step 6: Final answer
    x = 196,752.11

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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.