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Finding the Fourth Proportional to 381,267, 571,900.50 and 131,949

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Solution

The fourth proportional to 381,267, 571,900.50 and 131,949 is: 197,923.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,267 : 571,900.50 = 131,949 : x
  2. Step 2: Convert to fraction form
    381,267/571,900.50 = 131,949/x
  3. Step 3: Cross multiply
    381,267x = 571,900.50 × 131,949
  4. Step 4: Simplify right side
    381,267x = 75,461,699,074.50
  5. Step 5: Solve for x
    x = 75,461,699,074.50/381,267
  6. Step 6: Final answer
    x = 197,923.50

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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.