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Finding the Fourth Proportional to 322,954, 445,676.52 and 181,642

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Solution

The fourth proportional to 322,954, 445,676.52 and 181,642 is: 250,665.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,954 : 445,676.52 = 181,642 : x
  2. Step 2: Convert to fraction form
    322,954/445,676.52 = 181,642/x
  3. Step 3: Cross multiply
    322,954x = 445,676.52 × 181,642
  4. Step 4: Simplify right side
    322,954x = 80,953,574,445.84
  5. Step 5: Solve for x
    x = 80,953,574,445.84/322,954
  6. Step 6: Final answer
    x = 250,665.96

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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.