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Finding the Fourth Proportional to 358,142.66, 494,226.54 and 196,997.70

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Solution

The fourth proportional to 358,142.66, 494,226.54 and 196,997.70 is: 271,851.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,142.66 : 494,226.54 = 196,997.70 : x
  2. Step 2: Convert to fraction form
    358,142.66/494,226.54 = 196,997.70/x
  3. Step 3: Cross multiply
    358,142.66x = 494,226.54 × 196,997.70
  4. Step 4: Simplify right side
    358,142.66x = 97,361,491,658.96
  5. Step 5: Solve for x
    x = 97,361,491,658.96/358,142.66
  6. Step 6: Final answer
    x = 271,851.14

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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.