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Finding the Fourth Proportional to 422,752.05, 633,414.87 and 209,235.24

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Solution

The fourth proportional to 422,752.05, 633,414.87 and 209,235.24 is: 313,499.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,752.05 : 633,414.87 = 209,235.24 : x
  2. Step 2: Convert to fraction form
    422,752.05/633,414.87 = 209,235.24/x
  3. Step 3: Cross multiply
    422,752.05x = 633,414.87 × 209,235.24
  4. Step 4: Simplify right side
    422,752.05x = 132,532,712,344.02
  5. Step 5: Solve for x
    x = 132,532,712,344.02/422,752.05
  6. Step 6: Final answer
    x = 313,499.87

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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.