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Finding the Fourth Proportional to 306,224.94, 422,604.48 and 170,272.86

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Solution

The fourth proportional to 306,224.94, 422,604.48 and 170,272.86 is: 234,984.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,224.94 : 422,604.48 = 170,272.86 : x
  2. Step 2: Convert to fraction form
    306,224.94/422,604.48 = 170,272.86/x
  3. Step 3: Cross multiply
    306,224.94x = 422,604.48 × 170,272.86
  4. Step 4: Simplify right side
    306,224.94x = 71,958,073,458.41
  5. Step 5: Solve for x
    x = 71,958,073,458.41/306,224.94
  6. Step 6: Final answer
    x = 234,984.37

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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.