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Finding the Fourth Proportional to 279,611.33, 419,385.59 and 77,236.20

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Solution

The fourth proportional to 279,611.33, 419,385.59 and 77,236.20 is: 115,845.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,611.33 : 419,385.59 = 77,236.20 : x
  2. Step 2: Convert to fraction form
    279,611.33/419,385.59 = 77,236.20/x
  3. Step 3: Cross multiply
    279,611.33x = 419,385.59 × 77,236.20
  4. Step 4: Simplify right side
    279,611.33x = 32,391,749,306.36
  5. Step 5: Solve for x
    x = 32,391,749,306.36/279,611.33
  6. Step 6: Final answer
    x = 115,845.63

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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.