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Finding the Fourth Proportional to 409,496.40, 614,244.60 and 267,778.80

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Solution

The fourth proportional to 409,496.40, 614,244.60 and 267,778.80 is: 401,668.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,496.40 : 614,244.60 = 267,778.80 : x
  2. Step 2: Convert to fraction form
    409,496.40/614,244.60 = 267,778.80/x
  3. Step 3: Cross multiply
    409,496.40x = 614,244.60 × 267,778.80
  4. Step 4: Simplify right side
    409,496.40x = 164,481,681,894.48
  5. Step 5: Solve for x
    x = 164,481,681,894.48/409,496.40
  6. Step 6: Final answer
    x = 401,668.20

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1.5x scale

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.