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Finding the Fourth Proportional to 353,617.85, 488,002.32 and 200,662.41

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Solution

The fourth proportional to 353,617.85, 488,002.32 and 200,662.41 is: 276,919.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,617.85 : 488,002.32 = 200,662.41 : x
  2. Step 2: Convert to fraction form
    353,617.85/488,002.32 = 200,662.41/x
  3. Step 3: Cross multiply
    353,617.85x = 488,002.32 × 200,662.41
  4. Step 4: Simplify right side
    353,617.85x = 97,923,723,446.80
  5. Step 5: Solve for x
    x = 97,923,723,446.80/353,617.85
  6. Step 6: Final answer
    x = 276,919.63

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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.