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Finding the Fourth Proportional to 353,952.94, 488,439.28 and 206,791.44

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Solution

The fourth proportional to 353,952.94, 488,439.28 and 206,791.44 is: 285,362.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,952.94 : 488,439.28 = 206,791.44 : x
  2. Step 2: Convert to fraction form
    353,952.94/488,439.28 = 206,791.44/x
  3. Step 3: Cross multiply
    353,952.94x = 488,439.28 × 206,791.44
  4. Step 4: Simplify right side
    353,952.94x = 101,005,062,063.76
  5. Step 5: Solve for x
    x = 101,005,062,063.76/353,952.94
  6. Step 6: Final answer
    x = 285,362.97

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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.