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Finding the Fourth Proportional to 422,102.40, 582,556.80 and 240,772.80

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Solution

The fourth proportional to 422,102.40, 582,556.80 and 240,772.80 is: 332,298.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,102.40 : 582,556.80 = 240,772.80 : x
  2. Step 2: Convert to fraction form
    422,102.40/582,556.80 = 240,772.80/x
  3. Step 3: Cross multiply
    422,102.40x = 582,556.80 × 240,772.80
  4. Step 4: Simplify right side
    422,102.40x = 140,263,831,895.04
  5. Step 5: Solve for x
    x = 140,263,831,895.04/422,102.40
  6. Step 6: Final answer
    x = 332,298.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.