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Finding the Fourth Proportional to 422,806.69, 634,142.51 and 123,217.19

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Solution

The fourth proportional to 422,806.69, 634,142.51 and 123,217.19 is: 184,806.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,806.69 : 634,142.51 = 123,217.19 : x
  2. Step 2: Convert to fraction form
    422,806.69/634,142.51 = 123,217.19/x
  3. Step 3: Cross multiply
    422,806.69x = 634,142.51 × 123,217.19
  4. Step 4: Simplify right side
    422,806.69x = 78,137,254,354.95
  5. Step 5: Solve for x
    x = 78,137,254,354.95/422,806.69
  6. Step 6: Final answer
    x = 184,806.10

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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.