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Finding the Fourth Proportional to 422,831.49, 634,185.74 and 123,231.65

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Solution

The fourth proportional to 422,831.49, 634,185.74 and 123,231.65 is: 184,829.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,831.49 : 634,185.74 = 123,231.65 : x
  2. Step 2: Convert to fraction form
    422,831.49/634,185.74 = 123,231.65/x
  3. Step 3: Cross multiply
    422,831.49x = 634,185.74 × 123,231.65
  4. Step 4: Simplify right side
    422,831.49x = 78,151,751,359.58
  5. Step 5: Solve for x
    x = 78,151,751,359.58/422,831.49
  6. Step 6: Final answer
    x = 184,829.54

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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.