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Finding the Fourth Proportional to 512,112.67, 706,786.64 and 285,772.75

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Solution

The fourth proportional to 512,112.67, 706,786.64 and 285,772.75 is: 394,406.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,112.67 : 706,786.64 = 285,772.75 : x
  2. Step 2: Convert to fraction form
    512,112.67/706,786.64 = 285,772.75/x
  3. Step 3: Cross multiply
    512,112.67x = 706,786.64 × 285,772.75
  4. Step 4: Simplify right side
    512,112.67x = 201,980,361,776.06
  5. Step 5: Solve for x
    x = 201,980,361,776.06/512,112.67
  6. Step 6: Final answer
    x = 394,406.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.