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Finding the Fourth Proportional to 353,617.92, 488,016 and 202,717.44

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Solution

The fourth proportional to 353,617.92, 488,016 and 202,717.44 is: 279,763.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,617.92 : 488,016 = 202,717.44 : x
  2. Step 2: Convert to fraction form
    353,617.92/488,016 = 202,717.44/x
  3. Step 3: Cross multiply
    353,617.92x = 488,016 × 202,717.44
  4. Step 4: Simplify right side
    353,617.92x = 98,929,354,199.04
  5. Step 5: Solve for x
    x = 98,929,354,199.04/353,617.92
  6. Step 6: Final answer
    x = 279,763.41

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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.