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Finding the Fourth Proportional to 538,580.94, 743,243.22 and 323,844

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Solution

The fourth proportional to 538,580.94, 743,243.22 and 323,844 is: 446,905.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,580.94 : 743,243.22 = 323,844 : x
  2. Step 2: Convert to fraction form
    538,580.94/743,243.22 = 323,844/x
  3. Step 3: Cross multiply
    538,580.94x = 743,243.22 × 323,844
  4. Step 4: Simplify right side
    538,580.94x = 240,694,857,337.68
  5. Step 5: Solve for x
    x = 240,694,857,337.68/538,580.94
  6. Step 6: Final answer
    x = 446,905.64

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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.