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Finding the Fourth Proportional to 271,886.20, 407,634.90 and 122,003.80

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Solution

The fourth proportional to 271,886.20, 407,634.90 and 122,003.80 is: 182,918.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,886.20 : 407,634.90 = 122,003.80 : x
  2. Step 2: Convert to fraction form
    271,886.20/407,634.90 = 122,003.80/x
  3. Step 3: Cross multiply
    271,886.20x = 407,634.90 × 122,003.80
  4. Step 4: Simplify right side
    271,886.20x = 49,733,006,812.62
  5. Step 5: Solve for x
    x = 49,733,006,812.62/271,886.20
  6. Step 6: Final answer
    x = 182,918.47

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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.