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Finding the Fourth Proportional to 512,288.50, 706,965.42 and 285,934

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Solution

The fourth proportional to 512,288.50, 706,965.42 and 285,934 is: 394,592.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,288.50 : 706,965.42 = 285,934 : x
  2. Step 2: Convert to fraction form
    512,288.50/706,965.42 = 285,934/x
  3. Step 3: Cross multiply
    512,288.50x = 706,965.42 × 285,934
  4. Step 4: Simplify right side
    512,288.50x = 202,145,450,402.28
  5. Step 5: Solve for x
    x = 202,145,450,402.28/512,288.50
  6. Step 6: Final answer
    x = 394,592.99

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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.