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Finding the Fourth Proportional to 297,287.91, 410,258.42 and 161,321.88

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Solution

The fourth proportional to 297,287.91, 410,258.42 and 161,321.88 is: 222,624.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,287.91 : 410,258.42 = 161,321.88 : x
  2. Step 2: Convert to fraction form
    297,287.91/410,258.42 = 161,321.88/x
  3. Step 3: Cross multiply
    297,287.91x = 410,258.42 × 161,321.88
  4. Step 4: Simplify right side
    297,287.91x = 66,183,659,416.99
  5. Step 5: Solve for x
    x = 66,183,659,416.99/297,287.91
  6. Step 6: Final answer
    x = 222,624.80

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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.