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Finding the Fourth Proportional to 355,794.94, 491,018.79 and 204,940.54

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Solution

The fourth proportional to 355,794.94, 491,018.79 and 204,940.54 is: 282,830.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,794.94 : 491,018.79 = 204,940.54 : x
  2. Step 2: Convert to fraction form
    355,794.94/491,018.79 = 204,940.54/x
  3. Step 3: Cross multiply
    355,794.94x = 491,018.79 × 204,940.54
  4. Step 4: Simplify right side
    355,794.94x = 100,629,655,972.75
  5. Step 5: Solve for x
    x = 100,629,655,972.75/355,794.94
  6. Step 6: Final answer
    x = 282,830.49

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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.