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Finding the Fourth Proportional to 356,424.91, 491,866.38 and 195,286.06

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Solution

The fourth proportional to 356,424.91, 491,866.38 and 195,286.06 is: 269,494.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,424.91 : 491,866.38 = 195,286.06 : x
  2. Step 2: Convert to fraction form
    356,424.91/491,866.38 = 195,286.06/x
  3. Step 3: Cross multiply
    356,424.91x = 491,866.38 × 195,286.06
  4. Step 4: Simplify right side
    356,424.91x = 96,054,647,396.66
  5. Step 5: Solve for x
    x = 96,054,647,396.66/356,424.91
  6. Step 6: Final answer
    x = 269,494.77

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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.