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Finding the Fourth Proportional to 308,811.76, 462,998.94 and 119,112.60

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Solution

The fourth proportional to 308,811.76, 462,998.94 and 119,112.60 is: 178,584.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,811.76 : 462,998.94 = 119,112.60 : x
  2. Step 2: Convert to fraction form
    308,811.76/462,998.94 = 119,112.60/x
  3. Step 3: Cross multiply
    308,811.76x = 462,998.94 × 119,112.60
  4. Step 4: Simplify right side
    308,811.76x = 55,149,007,540.64
  5. Step 5: Solve for x
    x = 55,149,007,540.64/308,811.76
  6. Step 6: Final answer
    x = 178,584.54

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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.