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Finding the Fourth Proportional to 353,878.20, 488,357.10 and 200,911.32

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Solution

The fourth proportional to 353,878.20, 488,357.10 and 200,911.32 is: 277,260.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,878.20 : 488,357.10 = 200,911.32 : x
  2. Step 2: Convert to fraction form
    353,878.20/488,357.10 = 200,911.32/x
  3. Step 3: Cross multiply
    353,878.20x = 488,357.10 × 200,911.32
  4. Step 4: Simplify right side
    353,878.20x = 98,116,469,592.37
  5. Step 5: Solve for x
    x = 98,116,469,592.37/353,878.20
  6. Step 6: Final answer
    x = 277,260.56

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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.