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Finding the Fourth Proportional to 321,106.34, 481,431.51 and 161,067.15

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Solution

The fourth proportional to 321,106.34, 481,431.51 and 161,067.15 is: 241,486.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,106.34 : 481,431.51 = 161,067.15 : x
  2. Step 2: Convert to fraction form
    321,106.34/481,431.51 = 161,067.15/x
  3. Step 3: Cross multiply
    321,106.34x = 481,431.51 × 161,067.15
  4. Step 4: Simplify right side
    321,106.34x = 77,542,801,235.90
  5. Step 5: Solve for x
    x = 77,542,801,235.90/321,106.34
  6. Step 6: Final answer
    x = 241,486.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.