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Finding the Fourth Proportional to 394,298.69, 591,956.51 and 338,497.38

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Solution

The fourth proportional to 394,298.69, 591,956.51 and 338,497.38 is: 508,182.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,298.69 : 591,956.51 = 338,497.38 : x
  2. Step 2: Convert to fraction form
    394,298.69/591,956.51 = 338,497.38/x
  3. Step 3: Cross multiply
    394,298.69x = 591,956.51 × 338,497.38
  4. Step 4: Simplify right side
    394,298.69x = 200,375,726,016.46
  5. Step 5: Solve for x
    x = 200,375,726,016.46/394,298.69
  6. Step 6: Final answer
    x = 508,182.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.