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Finding the Fourth Proportional to 422,015.63, 633,020.71 and 106,472.84

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Solution

The fourth proportional to 422,015.63, 633,020.71 and 106,472.84 is: 159,708.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,015.63 : 633,020.71 = 106,472.84 : x
  2. Step 2: Convert to fraction form
    422,015.63/633,020.71 = 106,472.84/x
  3. Step 3: Cross multiply
    422,015.63x = 633,020.71 × 106,472.84
  4. Step 4: Simplify right side
    422,015.63x = 67,399,512,772.52
  5. Step 5: Solve for x
    x = 67,399,512,772.52/422,015.63
  6. Step 6: Final answer
    x = 159,708.57

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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.