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Finding the Fourth Proportional to 490,908.22, 735,181.34 and 279,906.46

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Solution

The fourth proportional to 490,908.22, 735,181.34 and 279,906.46 is: 419,186.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,908.22 : 735,181.34 = 279,906.46 : x
  2. Step 2: Convert to fraction form
    490,908.22/735,181.34 = 279,906.46/x
  3. Step 3: Cross multiply
    490,908.22x = 735,181.34 × 279,906.46
  4. Step 4: Simplify right side
    490,908.22x = 205,782,006,337.46
  5. Step 5: Solve for x
    x = 205,782,006,337.46/490,908.22
  6. Step 6: Final answer
    x = 419,186.31

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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.