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Finding the Fourth Proportional to 409,318.14, 613,063.80 and 313,845.54

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Solution

The fourth proportional to 409,318.14, 613,063.80 and 313,845.54 is: 470,067.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,318.14 : 613,063.80 = 313,845.54 : x
  2. Step 2: Convert to fraction form
    409,318.14/613,063.80 = 313,845.54/x
  3. Step 3: Cross multiply
    409,318.14x = 613,063.80 × 313,845.54
  4. Step 4: Simplify right side
    409,318.14x = 192,407,339,365.45
  5. Step 5: Solve for x
    x = 192,407,339,365.45/409,318.14
  6. Step 6: Final answer
    x = 470,067.95

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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.