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Finding the Fourth Proportional to 271,912, 408,006.50 and 192,460.72

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Solution

The fourth proportional to 271,912, 408,006.50 and 192,460.72 is: 288,789.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,912 : 408,006.50 = 192,460.72 : x
  2. Step 2: Convert to fraction form
    271,912/408,006.50 = 192,460.72/x
  3. Step 3: Cross multiply
    271,912x = 408,006.50 × 192,460.72
  4. Step 4: Simplify right side
    271,912x = 78,525,224,754.68
  5. Step 5: Solve for x
    x = 78,525,224,754.68/271,912
  6. Step 6: Final answer
    x = 288,789.11

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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.