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Finding the Fourth Proportional to 589,439, 813,425.82 and 321,167

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Solution

The fourth proportional to 589,439, 813,425.82 and 321,167 is: 443,210.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,439 : 813,425.82 = 321,167 : x
  2. Step 2: Convert to fraction form
    589,439/813,425.82 = 321,167/x
  3. Step 3: Cross multiply
    589,439x = 813,425.82 × 321,167
  4. Step 4: Simplify right side
    589,439x = 261,245,530,331.94
  5. Step 5: Solve for x
    x = 261,245,530,331.94/589,439
  6. Step 6: Final answer
    x = 443,210.46

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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.