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Finding the Fourth Proportional to 313,860.80, 470,906.40 and 126,891.20

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Solution

The fourth proportional to 313,860.80, 470,906.40 and 126,891.20 is: 190,383.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,860.80 : 470,906.40 = 126,891.20 : x
  2. Step 2: Convert to fraction form
    313,860.80/470,906.40 = 126,891.20/x
  3. Step 3: Cross multiply
    313,860.80x = 470,906.40 × 126,891.20
  4. Step 4: Simplify right side
    313,860.80x = 59,753,878,183.68
  5. Step 5: Solve for x
    x = 59,753,878,183.68/313,860.80
  6. Step 6: Final answer
    x = 190,383.37

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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.