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Finding the Fourth Proportional to 381,909.52, 571,991.60 and 182,369.66

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Solution

The fourth proportional to 381,909.52, 571,991.60 and 182,369.66 is: 273,137.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,909.52 : 571,991.60 = 182,369.66 : x
  2. Step 2: Convert to fraction form
    381,909.52/571,991.60 = 182,369.66/x
  3. Step 3: Cross multiply
    381,909.52x = 571,991.60 × 182,369.66
  4. Step 4: Simplify right side
    381,909.52x = 104,313,915,500.76
  5. Step 5: Solve for x
    x = 104,313,915,500.76/381,909.52
  6. Step 6: Final answer
    x = 273,137.77

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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.