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Finding the Fourth Proportional to 355,940.11, 491,190.78 and 194,791.93

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Solution

The fourth proportional to 355,940.11, 491,190.78 and 194,791.93 is: 268,809.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,940.11 : 491,190.78 = 194,791.93 : x
  2. Step 2: Convert to fraction form
    355,940.11/491,190.78 = 194,791.93/x
  3. Step 3: Cross multiply
    355,940.11x = 491,190.78 × 194,791.93
  4. Step 4: Simplify right side
    355,940.11x = 95,680,000,034.41
  5. Step 5: Solve for x
    x = 95,680,000,034.41/355,940.11
  6. Step 6: Final answer
    x = 268,809.27

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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.