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Finding the Fourth Proportional to 800,778.66, 1,201,469.31 and 416,287.86

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Solution

The fourth proportional to 800,778.66, 1,201,469.31 and 416,287.86 is: 624,588.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,778.66 : 1,201,469.31 = 416,287.86 : x
  2. Step 2: Convert to fraction form
    800,778.66/1,201,469.31 = 416,287.86/x
  3. Step 3: Cross multiply
    800,778.66x = 1,201,469.31 × 416,287.86
  4. Step 4: Simplify right side
    800,778.66x = 500,157,087,915.58
  5. Step 5: Solve for x
    x = 500,157,087,915.58/800,778.66
  6. Step 6: Final answer
    x = 624,588.43

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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.