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Finding the Fourth Proportional to 308,277, 462,415.50 and 86,661

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Solution

The fourth proportional to 308,277, 462,415.50 and 86,661 is: 129,991.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,277 : 462,415.50 = 86,661 : x
  2. Step 2: Convert to fraction form
    308,277/462,415.50 = 86,661/x
  3. Step 3: Cross multiply
    308,277x = 462,415.50 × 86,661
  4. Step 4: Simplify right side
    308,277x = 40,073,389,645.50
  5. Step 5: Solve for x
    x = 40,073,389,645.50/308,277
  6. Step 6: Final answer
    x = 129,991.50

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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.