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Finding the Fourth Proportional to 422,536.05, 633,797.96 and 102,690.27

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Solution

The fourth proportional to 422,536.05, 633,797.96 and 102,690.27 is: 154,033.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,536.05 : 633,797.96 = 102,690.27 : x
  2. Step 2: Convert to fraction form
    422,536.05/633,797.96 = 102,690.27/x
  3. Step 3: Cross multiply
    422,536.05x = 633,797.96 × 102,690.27
  4. Step 4: Simplify right side
    422,536.05x = 65,084,883,124.40
  5. Step 5: Solve for x
    x = 65,084,883,124.40/422,536.05
  6. Step 6: Final answer
    x = 154,033.92

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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.