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Finding the Fourth Proportional to 381,171.39, 571,611.27 and 128,383.86

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Solution

The fourth proportional to 381,171.39, 571,611.27 and 128,383.86 is: 192,526.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,171.39 : 571,611.27 = 128,383.86 : x
  2. Step 2: Convert to fraction form
    381,171.39/571,611.27 = 128,383.86/x
  3. Step 3: Cross multiply
    381,171.39x = 571,611.27 × 128,383.86
  4. Step 4: Simplify right side
    381,171.39x = 73,385,661,262.10
  5. Step 5: Solve for x
    x = 73,385,661,262.10/381,171.39
  6. Step 6: Final answer
    x = 192,526.68

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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.