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Finding the Fourth Proportional to 512,022.96, 706,593.72 and 285,678

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Solution

The fourth proportional to 512,022.96, 706,593.72 and 285,678 is: 394,236.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,022.96 : 706,593.72 = 285,678 : x
  2. Step 2: Convert to fraction form
    512,022.96/706,593.72 = 285,678/x
  3. Step 3: Cross multiply
    512,022.96x = 706,593.72 × 285,678
  4. Step 4: Simplify right side
    512,022.96x = 201,858,280,742.16
  5. Step 5: Solve for x
    x = 201,858,280,742.16/512,022.96
  6. Step 6: Final answer
    x = 394,236.78

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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.