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Finding the Fourth Proportional to 522,857, 721,543.30 and 284,393

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Solution

The fourth proportional to 522,857, 721,543.30 and 284,393 is: 392,462.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,857 : 721,543.30 = 284,393 : x
  2. Step 2: Convert to fraction form
    522,857/721,543.30 = 284,393/x
  3. Step 3: Cross multiply
    522,857x = 721,543.30 × 284,393
  4. Step 4: Simplify right side
    522,857x = 205,201,863,716.90
  5. Step 5: Solve for x
    x = 205,201,863,716.90/522,857
  6. Step 6: Final answer
    x = 392,462.69

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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.