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Finding the Fourth Proportional to 422,803.85, 634,138.26 and 123,214.36

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Solution

The fourth proportional to 422,803.85, 634,138.26 and 123,214.36 is: 184,801.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,803.85 : 634,138.26 = 123,214.36 : x
  2. Step 2: Convert to fraction form
    422,803.85/634,138.26 = 123,214.36/x
  3. Step 3: Cross multiply
    422,803.85x = 634,138.26 × 123,214.36
  4. Step 4: Simplify right side
    422,803.85x = 78,134,936,686.72
  5. Step 5: Solve for x
    x = 78,134,936,686.72/422,803.85
  6. Step 6: Final answer
    x = 184,801.86

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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.