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Finding the Fourth Proportional to 271,425.80, 406,974.54 and 121,638.44

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Solution

The fourth proportional to 271,425.80, 406,974.54 and 121,638.44 is: 182,384.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,425.80 : 406,974.54 = 121,638.44 : x
  2. Step 2: Convert to fraction form
    271,425.80/406,974.54 = 121,638.44/x
  3. Step 3: Cross multiply
    271,425.80x = 406,974.54 × 121,638.44
  4. Step 4: Simplify right side
    271,425.80x = 49,503,748,165.32
  5. Step 5: Solve for x
    x = 49,503,748,165.32/271,425.80
  6. Step 6: Final answer
    x = 182,384.09

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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.