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Finding the Fourth Proportional to 271,331.40, 406,997.10 and 259,813.20

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Solution

The fourth proportional to 271,331.40, 406,997.10 and 259,813.20 is: 389,719.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,331.40 : 406,997.10 = 259,813.20 : x
  2. Step 2: Convert to fraction form
    271,331.40/406,997.10 = 259,813.20/x
  3. Step 3: Cross multiply
    271,331.40x = 406,997.10 × 259,813.20
  4. Step 4: Simplify right side
    271,331.40x = 105,743,218,941.72
  5. Step 5: Solve for x
    x = 105,743,218,941.72/271,331.40
  6. Step 6: Final answer
    x = 389,719.80

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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.