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Finding the Fourth Proportional to 512,142.24, 706,755.84 and 285,788.16

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Solution

The fourth proportional to 512,142.24, 706,755.84 and 285,788.16 is: 394,387.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,142.24 : 706,755.84 = 285,788.16 : x
  2. Step 2: Convert to fraction form
    512,142.24/706,755.84 = 285,788.16/x
  3. Step 3: Cross multiply
    512,142.24x = 706,755.84 × 285,788.16
  4. Step 4: Simplify right side
    512,142.24x = 201,982,451,082.85
  5. Step 5: Solve for x
    x = 201,982,451,082.85/512,142.24
  6. Step 6: Final answer
    x = 394,387.41

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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.