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Finding the Fourth Proportional to 422,805.18, 634,140.26 and 123,215.68

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Solution

The fourth proportional to 422,805.18, 634,140.26 and 123,215.68 is: 184,803.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,805.18 : 634,140.26 = 123,215.68 : x
  2. Step 2: Convert to fraction form
    422,805.18/634,140.26 = 123,215.68/x
  3. Step 3: Cross multiply
    422,805.18x = 634,140.26 × 123,215.68
  4. Step 4: Simplify right side
    422,805.18x = 78,136,023,989.93
  5. Step 5: Solve for x
    x = 78,136,023,989.93/422,805.18
  6. Step 6: Final answer
    x = 184,803.85

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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.