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Finding the Fourth Proportional to 355,847.67, 491,067.77 and 194,699.79

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Solution

The fourth proportional to 355,847.67, 491,067.77 and 194,699.79 is: 268,684.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,847.67 : 491,067.77 = 194,699.79 : x
  2. Step 2: Convert to fraction form
    355,847.67/491,067.77 = 194,699.79/x
  3. Step 3: Cross multiply
    355,847.67x = 491,067.77 × 194,699.79
  4. Step 4: Simplify right side
    355,847.67x = 95,610,790,721.27
  5. Step 5: Solve for x
    x = 95,610,790,721.27/355,847.67
  6. Step 6: Final answer
    x = 268,684.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.