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Finding the Fourth Proportional to 422,803.22, 634,137.32 and 123,213.72

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Solution

The fourth proportional to 422,803.22, 634,137.32 and 123,213.72 is: 184,800.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,803.22 : 634,137.32 = 123,213.72 : x
  2. Step 2: Convert to fraction form
    422,803.22/634,137.32 = 123,213.72/x
  3. Step 3: Cross multiply
    422,803.22x = 634,137.32 × 123,213.72
  4. Step 4: Simplify right side
    422,803.22x = 78,134,417,571.96
  5. Step 5: Solve for x
    x = 78,134,417,571.96/422,803.22
  6. Step 6: Final answer
    x = 184,800.91

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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.