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Finding the Fourth Proportional to 200,684.78, 300,436.66 and 133,959.41

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Solution

The fourth proportional to 200,684.78, 300,436.66 and 133,959.41 is: 200,544.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,684.78 : 300,436.66 = 133,959.41 : x
  2. Step 2: Convert to fraction form
    200,684.78/300,436.66 = 133,959.41/x
  3. Step 3: Cross multiply
    200,684.78x = 300,436.66 × 133,959.41
  4. Step 4: Simplify right side
    200,684.78x = 40,246,317,715.97
  5. Step 5: Solve for x
    x = 40,246,317,715.97/200,684.78
  6. Step 6: Final answer
    x = 200,544.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.