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Finding the Fourth Proportional to 271,929.40, 408,039.90 and 114,173.80

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Solution

The fourth proportional to 271,929.40, 408,039.90 and 114,173.80 is: 171,321.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,929.40 : 408,039.90 = 114,173.80 : x
  2. Step 2: Convert to fraction form
    271,929.40/408,039.90 = 114,173.80/x
  3. Step 3: Cross multiply
    271,929.40x = 408,039.90 × 114,173.80
  4. Step 4: Simplify right side
    271,929.40x = 46,587,465,934.62
  5. Step 5: Solve for x
    x = 46,587,465,934.62/271,929.40
  6. Step 6: Final answer
    x = 171,321.92

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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.