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Finding the Fourth Proportional to 355,189.78, 490,195.65 and 194,069.02

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Solution

The fourth proportional to 355,189.78, 490,195.65 and 194,069.02 is: 267,833.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,189.78 : 490,195.65 = 194,069.02 : x
  2. Step 2: Convert to fraction form
    355,189.78/490,195.65 = 194,069.02/x
  3. Step 3: Cross multiply
    355,189.78x = 490,195.65 × 194,069.02
  4. Step 4: Simplify right side
    355,189.78x = 95,131,789,403.76
  5. Step 5: Solve for x
    x = 95,131,789,403.76/355,189.78
  6. Step 6: Final answer
    x = 267,833.69

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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.