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Finding the Fourth Proportional to 523,800, 722,844 and 285,336

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Solution

The fourth proportional to 523,800, 722,844 and 285,336 is: 393,763.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,800 : 722,844 = 285,336 : x
  2. Step 2: Convert to fraction form
    523,800/722,844 = 285,336/x
  3. Step 3: Cross multiply
    523,800x = 722,844 × 285,336
  4. Step 4: Simplify right side
    523,800x = 206,253,415,584
  5. Step 5: Solve for x
    x = 206,253,415,584/523,800
  6. Step 6: Final answer
    x = 393,763.68

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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.