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Finding the Fourth Proportional to 422,803.98, 634,138.45 and 123,214.48

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Solution

The fourth proportional to 422,803.98, 634,138.45 and 123,214.48 is: 184,802.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,803.98 : 634,138.45 = 123,214.48 : x
  2. Step 2: Convert to fraction form
    422,803.98/634,138.45 = 123,214.48/x
  3. Step 3: Cross multiply
    422,803.98x = 634,138.45 × 123,214.48
  4. Step 4: Simplify right side
    422,803.98x = 78,135,037,471.37
  5. Step 5: Solve for x
    x = 78,135,037,471.37/422,803.98
  6. Step 6: Final answer
    x = 184,802.04

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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.