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Finding the Fourth Proportional to 380,197.01, 571,033.62 and 279,961.33

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Solution

The fourth proportional to 380,197.01, 571,033.62 and 279,961.33 is: 420,485.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,197.01 : 571,033.62 = 279,961.33 : x
  2. Step 2: Convert to fraction form
    380,197.01/571,033.62 = 279,961.33/x
  3. Step 3: Cross multiply
    380,197.01x = 571,033.62 × 279,961.33
  4. Step 4: Simplify right side
    380,197.01x = 159,867,332,160.41
  5. Step 5: Solve for x
    x = 159,867,332,160.41/380,197.01
  6. Step 6: Final answer
    x = 420,485.51

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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.