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Finding the Fourth Proportional to 589,438, 813,424.56 and 321,166

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Solution

The fourth proportional to 589,438, 813,424.56 and 321,166 is: 443,209.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,438 : 813,424.56 = 321,166 : x
  2. Step 2: Convert to fraction form
    589,438/813,424.56 = 321,166/x
  3. Step 3: Cross multiply
    589,438x = 813,424.56 × 321,166
  4. Step 4: Simplify right side
    589,438x = 261,244,312,236.96
  5. Step 5: Solve for x
    x = 261,244,312,236.96/589,438
  6. Step 6: Final answer
    x = 443,209.15

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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.