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Finding the Fourth Proportional to 512,500.20, 768,083.40 and 208,540.05

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Solution

The fourth proportional to 512,500.20, 768,083.40 and 208,540.05 is: 312,538.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,500.20 : 768,083.40 = 208,540.05 : x
  2. Step 2: Convert to fraction form
    512,500.20/768,083.40 = 208,540.05/x
  3. Step 3: Cross multiply
    512,500.20x = 768,083.40 × 208,540.05
  4. Step 4: Simplify right side
    512,500.20x = 160,176,150,640.17
  5. Step 5: Solve for x
    x = 160,176,150,640.17/512,500.20
  6. Step 6: Final answer
    x = 312,538.71

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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.