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Finding the Fourth Proportional to 589,473.64, 813,474.66 and 321,201.64

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Solution

The fourth proportional to 589,473.64, 813,474.66 and 321,201.64 is: 443,258.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,473.64 : 813,474.66 = 321,201.64 : x
  2. Step 2: Convert to fraction form
    589,473.64/813,474.66 = 321,201.64/x
  3. Step 3: Cross multiply
    589,473.64x = 813,474.66 × 321,201.64
  4. Step 4: Simplify right side
    589,473.64x = 261,289,394,890.44
  5. Step 5: Solve for x
    x = 261,289,394,890.44/589,473.64
  6. Step 6: Final answer
    x = 443,258.83

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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.