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Finding the Fourth Proportional to 355,155.31, 490,148.09 and 194,034.57

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Solution

The fourth proportional to 355,155.31, 490,148.09 and 194,034.57 is: 267,786.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,155.31 : 490,148.09 = 194,034.57 : x
  2. Step 2: Convert to fraction form
    355,155.31/490,148.09 = 194,034.57/x
  3. Step 3: Cross multiply
    355,155.31x = 490,148.09 × 194,034.57
  4. Step 4: Simplify right side
    355,155.31x = 95,105,673,879.47
  5. Step 5: Solve for x
    x = 95,105,673,879.47/355,155.31
  6. Step 6: Final answer
    x = 267,786.15

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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.