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Finding the Fourth Proportional to 422,802.25, 634,135.86 and 123,212.75

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Solution

The fourth proportional to 422,802.25, 634,135.86 and 123,212.75 is: 184,799.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,802.25 : 634,135.86 = 123,212.75 : x
  2. Step 2: Convert to fraction form
    422,802.25/634,135.86 = 123,212.75/x
  3. Step 3: Cross multiply
    422,802.25x = 634,135.86 × 123,212.75
  4. Step 4: Simplify right side
    422,802.25x = 78,133,625,710.59
  5. Step 5: Solve for x
    x = 78,133,625,710.59/422,802.25
  6. Step 6: Final answer
    x = 184,799.46

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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.