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Finding the Fourth Proportional to 356,367.49, 491,792.71 and 195,211.90

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Solution

The fourth proportional to 356,367.49, 491,792.71 and 195,211.90 is: 269,395.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,367.49 : 491,792.71 = 195,211.90 : x
  2. Step 2: Convert to fraction form
    356,367.49/491,792.71 = 195,211.90/x
  3. Step 3: Cross multiply
    356,367.49x = 491,792.71 × 195,211.90
  4. Step 4: Simplify right side
    356,367.49x = 96,003,789,813.28
  5. Step 5: Solve for x
    x = 96,003,789,813.28/356,367.49
  6. Step 6: Final answer
    x = 269,395.48

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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.