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Finding the Fourth Proportional to 422,467.70, 633,742.95 and 122,951.30

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Solution

The fourth proportional to 422,467.70, 633,742.95 and 122,951.30 is: 184,439.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,467.70 : 633,742.95 = 122,951.30 : x
  2. Step 2: Convert to fraction form
    422,467.70/633,742.95 = 122,951.30/x
  3. Step 3: Cross multiply
    422,467.70x = 633,742.95 × 122,951.30
  4. Step 4: Simplify right side
    422,467.70x = 77,919,519,568.34
  5. Step 5: Solve for x
    x = 77,919,519,568.34/422,467.70
  6. Step 6: Final answer
    x = 184,439.00

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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.