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Finding the Fourth Proportional to 389,406, 584,212.68 and 123,171.36

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Solution

The fourth proportional to 389,406, 584,212.68 and 123,171.36 is: 184,789.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,406 : 584,212.68 = 123,171.36 : x
  2. Step 2: Convert to fraction form
    389,406/584,212.68 = 123,171.36/x
  3. Step 3: Cross multiply
    389,406x = 584,212.68 × 123,171.36
  4. Step 4: Simplify right side
    389,406x = 71,958,270,324.84
  5. Step 5: Solve for x
    x = 71,958,270,324.84/389,406
  6. Step 6: Final answer
    x = 184,789.83

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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.