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Finding the Fourth Proportional to 322,586, 445,168.68 and 181,274

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Solution

The fourth proportional to 322,586, 445,168.68 and 181,274 is: 250,158.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,586 : 445,168.68 = 181,274 : x
  2. Step 2: Convert to fraction form
    322,586/445,168.68 = 181,274/x
  3. Step 3: Cross multiply
    322,586x = 445,168.68 × 181,274
  4. Step 4: Simplify right side
    322,586x = 80,697,507,298.32
  5. Step 5: Solve for x
    x = 80,697,507,298.32/322,586
  6. Step 6: Final answer
    x = 250,158.12

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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.