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Finding the Fourth Proportional to 271,361.92, 406,959.96 and 187,660

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Solution

The fourth proportional to 271,361.92, 406,959.96 and 187,660 is: 281,432.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,361.92 : 406,959.96 = 187,660 : x
  2. Step 2: Convert to fraction form
    271,361.92/406,959.96 = 187,660/x
  3. Step 3: Cross multiply
    271,361.92x = 406,959.96 × 187,660
  4. Step 4: Simplify right side
    271,361.92x = 76,370,106,093.60
  5. Step 5: Solve for x
    x = 76,370,106,093.60/271,361.92
  6. Step 6: Final answer
    x = 281,432.66

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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.