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Finding the Fourth Proportional to 559,716.20, 839,751.88 and 199,879.20

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Solution

The fourth proportional to 559,716.20, 839,751.88 and 199,879.20 is: 299,882.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,716.20 : 839,751.88 = 199,879.20 : x
  2. Step 2: Convert to fraction form
    559,716.20/839,751.88 = 199,879.20/x
  3. Step 3: Cross multiply
    559,716.20x = 839,751.88 × 199,879.20
  4. Step 4: Simplify right side
    559,716.20x = 167,848,933,972.90
  5. Step 5: Solve for x
    x = 167,848,933,972.90/559,716.20
  6. Step 6: Final answer
    x = 299,882.22

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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.