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Finding the Fourth Proportional to 422,803.72, 634,138.07 and 123,214.22

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Solution

The fourth proportional to 422,803.72, 634,138.07 and 123,214.22 is: 184,801.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,803.72 : 634,138.07 = 123,214.22 : x
  2. Step 2: Convert to fraction form
    422,803.72/634,138.07 = 123,214.22/x
  3. Step 3: Cross multiply
    422,803.72x = 634,138.07 × 123,214.22
  4. Step 4: Simplify right side
    422,803.72x = 78,134,827,667.36
  5. Step 5: Solve for x
    x = 78,134,827,667.36/422,803.72
  6. Step 6: Final answer
    x = 184,801.66

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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.