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Finding the Fourth Proportional to 523,838.88, 722,878.32 and 320,230.80

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Solution

The fourth proportional to 523,838.88, 722,878.32 and 320,230.80 is: 441,906.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,838.88 : 722,878.32 = 320,230.80 : x
  2. Step 2: Convert to fraction form
    523,838.88/722,878.32 = 320,230.80/x
  3. Step 3: Cross multiply
    523,838.88x = 722,878.32 × 320,230.80
  4. Step 4: Simplify right side
    523,838.88x = 231,487,902,716.26
  5. Step 5: Solve for x
    x = 231,487,902,716.26/523,838.88
  6. Step 6: Final answer
    x = 441,906.68

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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.