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Finding the Fourth Proportional to 422,803.35, 634,137.51 and 123,213.86

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Solution

The fourth proportional to 422,803.35, 634,137.51 and 123,213.86 is: 184,801.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,803.35 : 634,137.51 = 123,213.86 : x
  2. Step 2: Convert to fraction form
    422,803.35/634,137.51 = 123,213.86/x
  3. Step 3: Cross multiply
    422,803.35x = 634,137.51 × 123,213.86
  4. Step 4: Simplify right side
    422,803.35x = 78,134,527,207.20
  5. Step 5: Solve for x
    x = 78,134,527,207.20/422,803.35
  6. Step 6: Final answer
    x = 184,801.11

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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.