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Finding the Fourth Proportional to 543,324.30, 814,986.45 and 343,869.90

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Solution

The fourth proportional to 543,324.30, 814,986.45 and 343,869.90 is: 515,804.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,324.30 : 814,986.45 = 343,869.90 : x
  2. Step 2: Convert to fraction form
    543,324.30/814,986.45 = 343,869.90/x
  3. Step 3: Cross multiply
    543,324.30x = 814,986.45 × 343,869.90
  4. Step 4: Simplify right side
    543,324.30x = 280,249,309,062.86
  5. Step 5: Solve for x
    x = 280,249,309,062.86/543,324.30
  6. Step 6: Final answer
    x = 515,804.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.