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Finding the Fourth Proportional to 355,194, 490,167.72 and 196,218

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Solution

The fourth proportional to 355,194, 490,167.72 and 196,218 is: 270,780.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,194 : 490,167.72 = 196,218 : x
  2. Step 2: Convert to fraction form
    355,194/490,167.72 = 196,218/x
  3. Step 3: Cross multiply
    355,194x = 490,167.72 × 196,218
  4. Step 4: Simplify right side
    355,194x = 96,179,729,682.96
  5. Step 5: Solve for x
    x = 96,179,729,682.96/355,194
  6. Step 6: Final answer
    x = 270,780.84

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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.