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Finding the Fourth Proportional to 322,614, 445,207.32 and 181,302

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Solution

The fourth proportional to 322,614, 445,207.32 and 181,302 is: 250,196.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,614 : 445,207.32 = 181,302 : x
  2. Step 2: Convert to fraction form
    322,614/445,207.32 = 181,302/x
  3. Step 3: Cross multiply
    322,614x = 445,207.32 × 181,302
  4. Step 4: Simplify right side
    322,614x = 80,716,977,530.64
  5. Step 5: Solve for x
    x = 80,716,977,530.64/322,614
  6. Step 6: Final answer
    x = 250,196.76

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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.