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Finding the Fourth Proportional to 355,165.14, 490,121.72 and 194,016.05

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Solution

The fourth proportional to 355,165.14, 490,121.72 and 194,016.05 is: 267,738.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,165.14 : 490,121.72 = 194,016.05 : x
  2. Step 2: Convert to fraction form
    355,165.14/490,121.72 = 194,016.05/x
  3. Step 3: Cross multiply
    355,165.14x = 490,121.72 × 194,016.05
  4. Step 4: Simplify right side
    355,165.14x = 95,091,476,712.92
  5. Step 5: Solve for x
    x = 95,091,476,712.92/355,165.14
  6. Step 6: Final answer
    x = 267,738.77

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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.