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Finding the Fourth Proportional to 490,904.22, 735,175.35 and 279,902.46

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Solution

The fourth proportional to 490,904.22, 735,175.35 and 279,902.46 is: 419,180.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,904.22 : 735,175.35 = 279,902.46 : x
  2. Step 2: Convert to fraction form
    490,904.22/735,175.35 = 279,902.46/x
  3. Step 3: Cross multiply
    490,904.22x = 735,175.35 × 279,902.46
  4. Step 4: Simplify right side
    490,904.22x = 205,777,388,996.36
  5. Step 5: Solve for x
    x = 205,777,388,996.36/490,904.22
  6. Step 6: Final answer
    x = 419,180.32

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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.