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Finding the Fourth Proportional to 355,926, 491,177.88 and 196,950

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Solution

The fourth proportional to 355,926, 491,177.88 and 196,950 is: 271,791

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,926 : 491,177.88 = 196,950 : x
  2. Step 2: Convert to fraction form
    355,926/491,177.88 = 196,950/x
  3. Step 3: Cross multiply
    355,926x = 491,177.88 × 196,950
  4. Step 4: Simplify right side
    355,926x = 96,737,483,466
  5. Step 5: Solve for x
    x = 96,737,483,466/355,926
  6. Step 6: Final answer
    x = 271,791

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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.