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Finding the Fourth Proportional to 308,250, 462,375 and 86,634

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Solution

The fourth proportional to 308,250, 462,375 and 86,634 is: 129,951

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,250 : 462,375 = 86,634 : x
  2. Step 2: Convert to fraction form
    308,250/462,375 = 86,634/x
  3. Step 3: Cross multiply
    308,250x = 462,375 × 86,634
  4. Step 4: Simplify right side
    308,250x = 40,057,395,750
  5. Step 5: Solve for x
    x = 40,057,395,750/308,250
  6. Step 6: Final answer
    x = 129,951

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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.