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Finding the Fourth Proportional to 647,249.78, 970,879.54 and 197,978.70

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Solution

The fourth proportional to 647,249.78, 970,879.54 and 197,978.70 is: 296,969.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,249.78 : 970,879.54 = 197,978.70 : x
  2. Step 2: Convert to fraction form
    647,249.78/970,879.54 = 197,978.70/x
  3. Step 3: Cross multiply
    647,249.78x = 970,879.54 × 197,978.70
  4. Step 4: Simplify right side
    647,249.78x = 192,213,469,185.80
  5. Step 5: Solve for x
    x = 192,213,469,185.80/647,249.78
  6. Step 6: Final answer
    x = 296,969.54

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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.