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Finding the Fourth Proportional to 355,921.35, 491,171.49 and 194,776.49

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Solution

The fourth proportional to 355,921.35, 491,171.49 and 194,776.49 is: 268,791.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,921.35 : 491,171.49 = 194,776.49 : x
  2. Step 2: Convert to fraction form
    355,921.35/491,171.49 = 194,776.49/x
  3. Step 3: Cross multiply
    355,921.35x = 491,171.49 × 194,776.49
  4. Step 4: Simplify right side
    355,921.35x = 95,668,656,354.41
  5. Step 5: Solve for x
    x = 95,668,656,354.41/355,921.35
  6. Step 6: Final answer
    x = 268,791.56

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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.