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Finding the Fourth Proportional to 522,536, 721,105.44 and 284,072

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Solution

The fourth proportional to 522,536, 721,105.44 and 284,072 is: 392,022.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,536 : 721,105.44 = 284,072 : x
  2. Step 2: Convert to fraction form
    522,536/721,105.44 = 284,072/x
  3. Step 3: Cross multiply
    522,536x = 721,105.44 × 284,072
  4. Step 4: Simplify right side
    522,536x = 204,845,864,551.68
  5. Step 5: Solve for x
    x = 204,845,864,551.68/522,536
  6. Step 6: Final answer
    x = 392,022.49

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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.