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Finding the Fourth Proportional to 403,517.80, 605,211.90 and 122,969.80

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Solution

The fourth proportional to 403,517.80, 605,211.90 and 122,969.80 is: 184,434.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,517.80 : 605,211.90 = 122,969.80 : x
  2. Step 2: Convert to fraction form
    403,517.80/605,211.90 = 122,969.80/x
  3. Step 3: Cross multiply
    403,517.80x = 605,211.90 × 122,969.80
  4. Step 4: Simplify right side
    403,517.80x = 74,422,786,300.62
  5. Step 5: Solve for x
    x = 74,422,786,300.62/403,517.80
  6. Step 6: Final answer
    x = 184,434.95

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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.