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Finding the Fourth Proportional to 640,099.13, 959,937.64 and 213,517.41

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Solution

The fourth proportional to 640,099.13, 959,937.64 and 213,517.41 is: 320,205.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,099.13 : 959,937.64 = 213,517.41 : x
  2. Step 2: Convert to fraction form
    640,099.13/959,937.64 = 213,517.41/x
  3. Step 3: Cross multiply
    640,099.13x = 959,937.64 × 213,517.41
  4. Step 4: Simplify right side
    640,099.13x = 204,963,398,721.87
  5. Step 5: Solve for x
    x = 204,963,398,721.87/640,099.13
  6. Step 6: Final answer
    x = 320,205.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.