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Finding the Fourth Proportional to 271,404.60, 406,815.30 and 102,859.80

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Solution

The fourth proportional to 271,404.60, 406,815.30 and 102,859.80 is: 154,179.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,404.60 : 406,815.30 = 102,859.80 : x
  2. Step 2: Convert to fraction form
    271,404.60/406,815.30 = 102,859.80/x
  3. Step 3: Cross multiply
    271,404.60x = 406,815.30 × 102,859.80
  4. Step 4: Simplify right side
    271,404.60x = 41,844,940,394.94
  5. Step 5: Solve for x
    x = 41,844,940,394.94/271,404.60
  6. Step 6: Final answer
    x = 154,179.19

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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.