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Finding the Fourth Proportional to 422,810.99, 634,148.96 and 123,221.51

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Solution

The fourth proportional to 422,810.99, 634,148.96 and 123,221.51 is: 184,812.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,810.99 : 634,148.96 = 123,221.51 : x
  2. Step 2: Convert to fraction form
    422,810.99/634,148.96 = 123,221.51/x
  3. Step 3: Cross multiply
    422,810.99x = 634,148.96 × 123,221.51
  4. Step 4: Simplify right side
    422,810.99x = 78,140,788,629.28
  5. Step 5: Solve for x
    x = 78,140,788,629.28/422,810.99
  6. Step 6: Final answer
    x = 184,812.58

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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.