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Finding the Fourth Proportional to 589,568, 813,609.60 and 321,301.76

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Solution

The fourth proportional to 589,568, 813,609.60 and 321,301.76 is: 443,399.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,568 : 813,609.60 = 321,301.76 : x
  2. Step 2: Convert to fraction form
    589,568/813,609.60 = 321,301.76/x
  3. Step 3: Cross multiply
    589,568x = 813,609.60 × 321,301.76
  4. Step 4: Simplify right side
    589,568x = 261,414,196,432.90
  5. Step 5: Solve for x
    x = 261,414,196,432.90/589,568
  6. Step 6: Final answer
    x = 443,399.57

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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.