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Finding the Fourth Proportional to 356,081, 491,391.78 and 197,105

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Solution

The fourth proportional to 356,081, 491,391.78 and 197,105 is: 272,004.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,081 : 491,391.78 = 197,105 : x
  2. Step 2: Convert to fraction form
    356,081/491,391.78 = 197,105/x
  3. Step 3: Cross multiply
    356,081x = 491,391.78 × 197,105
  4. Step 4: Simplify right side
    356,081x = 96,855,776,796.90
  5. Step 5: Solve for x
    x = 96,855,776,796.90/356,081
  6. Step 6: Final answer
    x = 272,004.90

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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.