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Finding the Fourth Proportional to 353,813.49, 488,257.77 and 200,850.33

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Solution

The fourth proportional to 353,813.49, 488,257.77 and 200,850.33 is: 277,170.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,813.49 : 488,257.77 = 200,850.33 : x
  2. Step 2: Convert to fraction form
    353,813.49/488,257.77 = 200,850.33/x
  3. Step 3: Cross multiply
    353,813.49x = 488,257.77 × 200,850.33
  4. Step 4: Simplify right side
    353,813.49x = 98,066,734,229.56
  5. Step 5: Solve for x
    x = 98,066,734,229.56/353,813.49
  6. Step 6: Final answer
    x = 277,170.70

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1.5x scale

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.