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Finding the Fourth Proportional to 306,383.54, 422,803.21 and 170,414.56

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Solution

The fourth proportional to 306,383.54, 422,803.21 and 170,414.56 is: 235,168.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,383.54 : 422,803.21 = 170,414.56 : x
  2. Step 2: Convert to fraction form
    306,383.54/422,803.21 = 170,414.56/x
  3. Step 3: Cross multiply
    306,383.54x = 422,803.21 × 170,414.56
  4. Step 4: Simplify right side
    306,383.54x = 72,051,823,420.73
  5. Step 5: Solve for x
    x = 72,051,823,420.73/306,383.54
  6. Step 6: Final answer
    x = 235,168.71

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1.5x scale

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.