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Finding the Fourth Proportional to 322,971.08, 445,238.16 and 227,180.48

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Solution

The fourth proportional to 322,971.08, 445,238.16 and 227,180.48 is: 313,184.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,971.08 : 445,238.16 = 227,180.48 : x
  2. Step 2: Convert to fraction form
    322,971.08/445,238.16 = 227,180.48/x
  3. Step 3: Cross multiply
    322,971.08x = 445,238.16 × 227,180.48
  4. Step 4: Simplify right side
    322,971.08x = 101,149,418,903.12
  5. Step 5: Solve for x
    x = 101,149,418,903.12/322,971.08
  6. Step 6: Final answer
    x = 313,184.14

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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.