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Finding the Fourth Proportional to 263,199.26, 394,831.70 and 85,658.60

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Solution

The fourth proportional to 263,199.26, 394,831.70 and 85,658.60 is: 128,498.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,199.26 : 394,831.70 = 85,658.60 : x
  2. Step 2: Convert to fraction form
    263,199.26/394,831.70 = 85,658.60/x
  3. Step 3: Cross multiply
    263,199.26x = 394,831.70 × 85,658.60
  4. Step 4: Simplify right side
    263,199.26x = 33,820,728,255.17
  5. Step 5: Solve for x
    x = 33,820,728,255.17/263,199.26
  6. Step 6: Final answer
    x = 128,498.57

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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.