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Finding the Fourth Proportional to 322,786.24, 484,179.40 and 86,129.80

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Solution

The fourth proportional to 322,786.24, 484,179.40 and 86,129.80 is: 129,194.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,786.24 : 484,179.40 = 86,129.80 : x
  2. Step 2: Convert to fraction form
    322,786.24/484,179.40 = 86,129.80/x
  3. Step 3: Cross multiply
    322,786.24x = 484,179.40 × 86,129.80
  4. Step 4: Simplify right side
    322,786.24x = 41,702,274,886.12
  5. Step 5: Solve for x
    x = 41,702,274,886.12/322,786.24
  6. Step 6: Final answer
    x = 129,194.71

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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.