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Finding the Fourth Proportional to 523,714, 722,725.32 and 285,250

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Solution

The fourth proportional to 523,714, 722,725.32 and 285,250 is: 393,645

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,714 : 722,725.32 = 285,250 : x
  2. Step 2: Convert to fraction form
    523,714/722,725.32 = 285,250/x
  3. Step 3: Cross multiply
    523,714x = 722,725.32 × 285,250
  4. Step 4: Simplify right side
    523,714x = 206,157,397,530
  5. Step 5: Solve for x
    x = 206,157,397,530/523,714
  6. Step 6: Final answer
    x = 393,645

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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.