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Finding the Fourth Proportional to 279,883.30, 419,698.59 and 80,157.97

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Solution

The fourth proportional to 279,883.30, 419,698.59 and 80,157.97 is: 120,200.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,883.30 : 419,698.59 = 80,157.97 : x
  2. Step 2: Convert to fraction form
    279,883.30/419,698.59 = 80,157.97/x
  3. Step 3: Cross multiply
    279,883.30x = 419,698.59 × 80,157.97
  4. Step 4: Simplify right side
    279,883.30x = 33,642,186,986.26
  5. Step 5: Solve for x
    x = 33,642,186,986.26/279,883.30
  6. Step 6: Final answer
    x = 120,200.77

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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.