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Finding the Fourth Proportional to 512,162.36, 706,789.42 and 285,803

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Solution

The fourth proportional to 512,162.36, 706,789.42 and 285,803 is: 394,411.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,162.36 : 706,789.42 = 285,803 : x
  2. Step 2: Convert to fraction form
    512,162.36/706,789.42 = 285,803/x
  3. Step 3: Cross multiply
    512,162.36x = 706,789.42 × 285,803
  4. Step 4: Simplify right side
    512,162.36x = 202,002,536,604.26
  5. Step 5: Solve for x
    x = 202,002,536,604.26/512,162.36
  6. Step 6: Final answer
    x = 394,411.13

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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.