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Finding the Fourth Proportional to 355,191.78, 490,198.42 and 194,071.02

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Solution

The fourth proportional to 355,191.78, 490,198.42 and 194,071.02 is: 267,836.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,191.78 : 490,198.42 = 194,071.02 : x
  2. Step 2: Convert to fraction form
    355,191.78/490,198.42 = 194,071.02/x
  3. Step 3: Cross multiply
    355,191.78x = 490,198.42 × 194,071.02
  4. Step 4: Simplify right side
    355,191.78x = 95,133,307,371.79
  5. Step 5: Solve for x
    x = 95,133,307,371.79/355,191.78
  6. Step 6: Final answer
    x = 267,836.46

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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.