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Finding the Fourth Proportional to 355,213.82, 490,202.15 and 194,078.87

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Solution

The fourth proportional to 355,213.82, 490,202.15 and 194,078.87 is: 267,832.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,213.82 : 490,202.15 = 194,078.87 : x
  2. Step 2: Convert to fraction form
    355,213.82/490,202.15 = 194,078.87/x
  3. Step 3: Cross multiply
    355,213.82x = 490,202.15 × 194,078.87
  4. Step 4: Simplify right side
    355,213.82x = 95,137,877,760.42
  5. Step 5: Solve for x
    x = 95,137,877,760.42/355,213.82
  6. Step 6: Final answer
    x = 267,832.70

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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.