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Finding the Fourth Proportional to 422,340.21, 633,505.03 and 102,494.73

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Solution

The fourth proportional to 422,340.21, 633,505.03 and 102,494.73 is: 153,740.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,340.21 : 633,505.03 = 102,494.73 : x
  2. Step 2: Convert to fraction form
    422,340.21/633,505.03 = 102,494.73/x
  3. Step 3: Cross multiply
    422,340.21x = 633,505.03 × 102,494.73
  4. Step 4: Simplify right side
    422,340.21x = 64,930,927,003.49
  5. Step 5: Solve for x
    x = 64,930,927,003.49/422,340.21
  6. Step 6: Final answer
    x = 153,740.81

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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.