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Finding the Fourth Proportional to 297,015.72, 409,881.26 and 161,049.42

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Solution

The fourth proportional to 297,015.72, 409,881.26 and 161,049.42 is: 222,247.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,015.72 : 409,881.26 = 161,049.42 : x
  2. Step 2: Convert to fraction form
    297,015.72/409,881.26 = 161,049.42/x
  3. Step 3: Cross multiply
    297,015.72x = 409,881.26 × 161,049.42
  4. Step 4: Simplify right side
    297,015.72x = 66,011,138,386.62
  5. Step 5: Solve for x
    x = 66,011,138,386.62/297,015.72
  6. Step 6: Final answer
    x = 222,247.96

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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.