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Finding the Fourth Proportional to 355,896.69, 491,137.39 and 194,751.75

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Solution

The fourth proportional to 355,896.69, 491,137.39 and 194,751.75 is: 268,757.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,896.69 : 491,137.39 = 194,751.75 : x
  2. Step 2: Convert to fraction form
    355,896.69/491,137.39 = 194,751.75/x
  3. Step 3: Cross multiply
    355,896.69x = 491,137.39 × 194,751.75
  4. Step 4: Simplify right side
    355,896.69x = 95,649,866,192.93
  5. Step 5: Solve for x
    x = 95,649,866,192.93/355,896.69
  6. Step 6: Final answer
    x = 268,757.39

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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.