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Finding the Fourth Proportional to 323,404.20, 485,083.62 and 120,961.80

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Solution

The fourth proportional to 323,404.20, 485,083.62 and 120,961.80 is: 181,434.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,404.20 : 485,083.62 = 120,961.80 : x
  2. Step 2: Convert to fraction form
    323,404.20/485,083.62 = 120,961.80/x
  3. Step 3: Cross multiply
    323,404.20x = 485,083.62 × 120,961.80
  4. Step 4: Simplify right side
    323,404.20x = 58,676,587,825.72
  5. Step 5: Solve for x
    x = 58,676,587,825.72/323,404.20
  6. Step 6: Final answer
    x = 181,434.22

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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.