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Finding the Fourth Proportional to 422,429.45, 633,785.64 and 138,133.11

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Solution

The fourth proportional to 422,429.45, 633,785.64 and 138,133.11 is: 207,245.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,429.45 : 633,785.64 = 138,133.11 : x
  2. Step 2: Convert to fraction form
    422,429.45/633,785.64 = 138,133.11/x
  3. Step 3: Cross multiply
    422,429.45x = 633,785.64 × 138,133.11
  4. Step 4: Simplify right side
    422,429.45x = 87,546,783,773.74
  5. Step 5: Solve for x
    x = 87,546,783,773.74/422,429.45
  6. Step 6: Final answer
    x = 207,245.93

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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.