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Finding the Fourth Proportional to 409,640.40, 614,460.60 and 267,922.80

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Solution

The fourth proportional to 409,640.40, 614,460.60 and 267,922.80 is: 401,884.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,640.40 : 614,460.60 = 267,922.80 : x
  2. Step 2: Convert to fraction form
    409,640.40/614,460.60 = 267,922.80/x
  3. Step 3: Cross multiply
    409,640.40x = 614,460.60 × 267,922.80
  4. Step 4: Simplify right side
    409,640.40x = 164,628,004,441.68
  5. Step 5: Solve for x
    x = 164,628,004,441.68/409,640.40
  6. Step 6: Final answer
    x = 401,884.20

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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.