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Finding the Fourth Proportional to 422,589.86, 634,718.23 and 363,104.07

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Solution

The fourth proportional to 422,589.86, 634,718.23 and 363,104.07 is: 545,372.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,589.86 : 634,718.23 = 363,104.07 : x
  2. Step 2: Convert to fraction form
    422,589.86/634,718.23 = 363,104.07/x
  3. Step 3: Cross multiply
    422,589.86x = 634,718.23 × 363,104.07
  4. Step 4: Simplify right side
    422,589.86x = 230,468,769,328.24
  5. Step 5: Solve for x
    x = 230,468,769,328.24/422,589.86
  6. Step 6: Final answer
    x = 545,372.22

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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.