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Finding the Fourth Proportional to 305,915.88, 422,231.44 and 169,996.57

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Solution

The fourth proportional to 305,915.88, 422,231.44 and 169,996.57 is: 234,632.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,915.88 : 422,231.44 = 169,996.57 : x
  2. Step 2: Convert to fraction form
    305,915.88/422,231.44 = 169,996.57/x
  3. Step 3: Cross multiply
    305,915.88x = 422,231.44 × 169,996.57
  4. Step 4: Simplify right side
    305,915.88x = 71,777,896,546.16
  5. Step 5: Solve for x
    x = 71,777,896,546.16/305,915.88
  6. Step 6: Final answer
    x = 234,632.79

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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.