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Finding the Fourth Proportional to 422,072.70, 633,141.84 and 122,558.22

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Solution

The fourth proportional to 422,072.70, 633,141.84 and 122,558.22 is: 183,846.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,072.70 : 633,141.84 = 122,558.22 : x
  2. Step 2: Convert to fraction form
    422,072.70/633,141.84 = 122,558.22/x
  3. Step 3: Cross multiply
    422,072.70x = 633,141.84 × 122,558.22
  4. Step 4: Simplify right side
    422,072.70x = 77,596,736,917.92
  5. Step 5: Solve for x
    x = 77,596,736,917.92/422,072.70
  6. Step 6: Final answer
    x = 183,846.85

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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.