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Finding the Fourth Proportional to 340,306.44, 469,614.90 and 189,400.20

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Solution

The fourth proportional to 340,306.44, 469,614.90 and 189,400.20 is: 261,367.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,306.44 : 469,614.90 = 189,400.20 : x
  2. Step 2: Convert to fraction form
    340,306.44/469,614.90 = 189,400.20/x
  3. Step 3: Cross multiply
    340,306.44x = 469,614.90 × 189,400.20
  4. Step 4: Simplify right side
    340,306.44x = 88,945,155,982.98
  5. Step 5: Solve for x
    x = 88,945,155,982.98/340,306.44
  6. Step 6: Final answer
    x = 261,367.83

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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.