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Finding the Fourth Proportional to 297,086.98, 409,980.22 and 161,120.88

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Solution

The fourth proportional to 297,086.98, 409,980.22 and 161,120.88 is: 222,346.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,086.98 : 409,980.22 = 161,120.88 : x
  2. Step 2: Convert to fraction form
    297,086.98/409,980.22 = 161,120.88/x
  3. Step 3: Cross multiply
    297,086.98x = 409,980.22 × 161,120.88
  4. Step 4: Simplify right side
    297,086.98x = 66,056,373,828.99
  5. Step 5: Solve for x
    x = 66,056,373,828.99/297,086.98
  6. Step 6: Final answer
    x = 222,346.92

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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.