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Finding the Fourth Proportional to 299,708, 449,562 and 78,092

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Solution

The fourth proportional to 299,708, 449,562 and 78,092 is: 117,138

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,708 : 449,562 = 78,092 : x
  2. Step 2: Convert to fraction form
    299,708/449,562 = 78,092/x
  3. Step 3: Cross multiply
    299,708x = 449,562 × 78,092
  4. Step 4: Simplify right side
    299,708x = 35,107,195,704
  5. Step 5: Solve for x
    x = 35,107,195,704/299,708
  6. Step 6: Final answer
    x = 117,138

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.