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Finding the Fourth Proportional to 589,651.92, 813,742.20 and 321,379.92

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Solution

The fourth proportional to 589,651.92, 813,742.20 and 321,379.92 is: 443,516.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,651.92 : 813,742.20 = 321,379.92 : x
  2. Step 2: Convert to fraction form
    589,651.92/813,742.20 = 321,379.92/x
  3. Step 3: Cross multiply
    589,651.92x = 813,742.20 × 321,379.92
  4. Step 4: Simplify right side
    589,651.92x = 261,520,403,136.62
  5. Step 5: Solve for x
    x = 261,520,403,136.62/589,651.92
  6. Step 6: Final answer
    x = 443,516.58

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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.