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Finding the Fourth Proportional to 291,231.21, 401,805.25 and 163,882.20

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Solution

The fourth proportional to 291,231.21, 401,805.25 and 163,882.20 is: 226,104.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,231.21 : 401,805.25 = 163,882.20 : x
  2. Step 2: Convert to fraction form
    291,231.21/401,805.25 = 163,882.20/x
  3. Step 3: Cross multiply
    291,231.21x = 401,805.25 × 163,882.20
  4. Step 4: Simplify right side
    291,231.21x = 65,848,728,341.55
  5. Step 5: Solve for x
    x = 65,848,728,341.55/291,231.21
  6. Step 6: Final answer
    x = 226,104.64

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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.