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Finding the Fourth Proportional to 306,476.73, 422,698.24 and 199,081.36

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Solution

The fourth proportional to 306,476.73, 422,698.24 and 199,081.36 is: 274,576.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,476.73 : 422,698.24 = 199,081.36 : x
  2. Step 2: Convert to fraction form
    306,476.73/422,698.24 = 199,081.36/x
  3. Step 3: Cross multiply
    306,476.73x = 422,698.24 × 199,081.36
  4. Step 4: Simplify right side
    306,476.73x = 84,151,341,266.03
  5. Step 5: Solve for x
    x = 84,151,341,266.03/306,476.73
  6. Step 6: Final answer
    x = 274,576.61

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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.