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Finding the Fourth Proportional to 306,544.28, 422,791.45 and 199,148.91

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Solution

The fourth proportional to 306,544.28, 422,791.45 and 199,148.91 is: 274,669.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,544.28 : 422,791.45 = 199,148.91 : x
  2. Step 2: Convert to fraction form
    306,544.28/422,791.45 = 199,148.91/x
  3. Step 3: Cross multiply
    306,544.28x = 422,791.45 × 199,148.91
  4. Step 4: Simplify right side
    306,544.28x = 84,198,457,466.49
  5. Step 5: Solve for x
    x = 84,198,457,466.49/306,544.28
  6. Step 6: Final answer
    x = 274,669.81

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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.