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Finding the Fourth Proportional to 297,087.98, 409,981.60 and 161,121.88

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Solution

The fourth proportional to 297,087.98, 409,981.60 and 161,121.88 is: 222,348.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,087.98 : 409,981.60 = 161,121.88 : x
  2. Step 2: Convert to fraction form
    297,087.98/409,981.60 = 161,121.88/x
  3. Step 3: Cross multiply
    297,087.98x = 409,981.60 × 161,121.88
  4. Step 4: Simplify right side
    297,087.98x = 66,057,006,157.41
  5. Step 5: Solve for x
    x = 66,057,006,157.41/297,087.98
  6. Step 6: Final answer
    x = 222,348.30

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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.