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Finding the Fourth Proportional to 587,578, 811,105.68 and 396,849.73

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Solution

The fourth proportional to 587,578, 811,105.68 and 396,849.73 is: 547,820.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,578 : 811,105.68 = 396,849.73 : x
  2. Step 2: Convert to fraction form
    587,578/811,105.68 = 396,849.73/x
  3. Step 3: Cross multiply
    587,578x = 811,105.68 × 396,849.73
  4. Step 4: Simplify right side
    587,578x = 321,887,070,109.47
  5. Step 5: Solve for x
    x = 321,887,070,109.47/587,578
  6. Step 6: Final answer
    x = 547,820.15

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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.