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Finding the Fourth Proportional to 490,901.22, 735,170.85 and 279,899.46

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Solution

The fourth proportional to 490,901.22, 735,170.85 and 279,899.46 is: 419,175.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,901.22 : 735,170.85 = 279,899.46 : x
  2. Step 2: Convert to fraction form
    490,901.22/735,170.85 = 279,899.46/x
  3. Step 3: Cross multiply
    490,901.22x = 735,170.85 × 279,899.46
  4. Step 4: Simplify right side
    490,901.22x = 205,773,923,922.74
  5. Step 5: Solve for x
    x = 205,773,923,922.74/490,901.22
  6. Step 6: Final answer
    x = 419,175.83

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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.