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Finding the Fourth Proportional to 218,383.48, 301,344.78 and 122,923

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Solution

The fourth proportional to 218,383.48, 301,344.78 and 122,923 is: 169,619.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,383.48 : 301,344.78 = 122,923 : x
  2. Step 2: Convert to fraction form
    218,383.48/301,344.78 = 122,923/x
  3. Step 3: Cross multiply
    218,383.48x = 301,344.78 × 122,923
  4. Step 4: Simplify right side
    218,383.48x = 37,042,204,391.94
  5. Step 5: Solve for x
    x = 37,042,204,391.94/218,383.48
  6. Step 6: Final answer
    x = 169,619.99

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1.5x scale

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.