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Finding the Fourth Proportional to 308,241, 462,361.50 and 86,625

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Solution

The fourth proportional to 308,241, 462,361.50 and 86,625 is: 129,937.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,241 : 462,361.50 = 86,625 : x
  2. Step 2: Convert to fraction form
    308,241/462,361.50 = 86,625/x
  3. Step 3: Cross multiply
    308,241x = 462,361.50 × 86,625
  4. Step 4: Simplify right side
    308,241x = 40,052,064,937.50
  5. Step 5: Solve for x
    x = 40,052,064,937.50/308,241
  6. Step 6: Final answer
    x = 129,937.50

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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.