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Finding the Fourth Proportional to 271,689.31, 407,003.82 and 177,910.75

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Solution

The fourth proportional to 271,689.31, 407,003.82 and 177,910.75 is: 266,518.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,689.31 : 407,003.82 = 177,910.75 : x
  2. Step 2: Convert to fraction form
    271,689.31/407,003.82 = 177,910.75/x
  3. Step 3: Cross multiply
    271,689.31x = 407,003.82 × 177,910.75
  4. Step 4: Simplify right side
    271,689.31x = 72,410,354,869.07
  5. Step 5: Solve for x
    x = 72,410,354,869.07/271,689.31
  6. Step 6: Final answer
    x = 266,518.97

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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.