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Finding the Fourth Proportional to 384,716.36, 577,020.59 and 131,992.70

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Solution

The fourth proportional to 384,716.36, 577,020.59 and 131,992.70 is: 197,970.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,716.36 : 577,020.59 = 131,992.70 : x
  2. Step 2: Convert to fraction form
    384,716.36/577,020.59 = 131,992.70/x
  3. Step 3: Cross multiply
    384,716.36x = 577,020.59 × 131,992.70
  4. Step 4: Simplify right side
    384,716.36x = 76,162,504,969.73
  5. Step 5: Solve for x
    x = 76,162,504,969.73/384,716.36
  6. Step 6: Final answer
    x = 197,970.54

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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.