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Finding the Fourth Proportional to 522,198, 720,637.64 and 283,734

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Solution

The fourth proportional to 522,198, 720,637.64 and 283,734 is: 391,555.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,198 : 720,637.64 = 283,734 : x
  2. Step 2: Convert to fraction form
    522,198/720,637.64 = 283,734/x
  3. Step 3: Cross multiply
    522,198x = 720,637.64 × 283,734
  4. Step 4: Simplify right side
    522,198x = 204,469,400,147.76
  5. Step 5: Solve for x
    x = 204,469,400,147.76/522,198
  6. Step 6: Final answer
    x = 391,555.31

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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.