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Finding the Fourth Proportional to 512,786.72, 768,696.24 and 180,181.28

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Solution

The fourth proportional to 512,786.72, 768,696.24 and 180,181.28 is: 270,101.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,786.72 : 768,696.24 = 180,181.28 : x
  2. Step 2: Convert to fraction form
    512,786.72/768,696.24 = 180,181.28/x
  3. Step 3: Cross multiply
    512,786.72x = 768,696.24 × 180,181.28
  4. Step 4: Simplify right side
    512,786.72x = 138,504,672,454.39
  5. Step 5: Solve for x
    x = 138,504,672,454.39/512,786.72
  6. Step 6: Final answer
    x = 270,101.91

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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.