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Finding the Fourth Proportional to 353,920.98, 488,393.69 and 200,939.11

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Solution

The fourth proportional to 353,920.98, 488,393.69 and 200,939.11 is: 277,286.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,920.98 : 488,393.69 = 200,939.11 : x
  2. Step 2: Convert to fraction form
    353,920.98/488,393.69 = 200,939.11/x
  3. Step 3: Cross multiply
    353,920.98x = 488,393.69 × 200,939.11
  4. Step 4: Simplify right side
    353,920.98x = 98,137,393,398.22
  5. Step 5: Solve for x
    x = 98,137,393,398.22/353,920.98
  6. Step 6: Final answer
    x = 277,286.17

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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.