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Finding the Fourth Proportional to 358,003.94, 494,028.52 and 196,865.78

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Solution

The fourth proportional to 358,003.94, 494,028.52 and 196,865.78 is: 271,665.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,003.94 : 494,028.52 = 196,865.78 : x
  2. Step 2: Convert to fraction form
    358,003.94/494,028.52 = 196,865.78/x
  3. Step 3: Cross multiply
    358,003.94x = 494,028.52 × 196,865.78
  4. Step 4: Simplify right side
    358,003.94x = 97,257,309,932.05
  5. Step 5: Solve for x
    x = 97,257,309,932.05/358,003.94
  6. Step 6: Final answer
    x = 271,665.47

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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.