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Finding the Fourth Proportional to 323,771, 485,539.84 and 136,797.08

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Solution

The fourth proportional to 323,771, 485,539.84 and 136,797.08 is: 205,146.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,771 : 485,539.84 = 136,797.08 : x
  2. Step 2: Convert to fraction form
    323,771/485,539.84 = 136,797.08/x
  3. Step 3: Cross multiply
    323,771x = 485,539.84 × 136,797.08
  4. Step 4: Simplify right side
    323,771x = 66,420,432,335.67
  5. Step 5: Solve for x
    x = 66,420,432,335.67/323,771
  6. Step 6: Final answer
    x = 205,146.33

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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.