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Finding the Fourth Proportional to 278,361.20, 417,539.80 and 67,997.20

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Solution

The fourth proportional to 278,361.20, 417,539.80 and 67,997.20 is: 101,995.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,361.20 : 417,539.80 = 67,997.20 : x
  2. Step 2: Convert to fraction form
    278,361.20/417,539.80 = 67,997.20/x
  3. Step 3: Cross multiply
    278,361.20x = 417,539.80 × 67,997.20
  4. Step 4: Simplify right side
    278,361.20x = 28,391,537,288.56
  5. Step 5: Solve for x
    x = 28,391,537,288.56/278,361.20
  6. Step 6: Final answer
    x = 101,995.31

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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.