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Finding the Fourth Proportional to 388,085.85, 582,128.91 and 174,604.41

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Solution

The fourth proportional to 388,085.85, 582,128.91 and 174,604.41 is: 261,906.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,085.85 : 582,128.91 = 174,604.41 : x
  2. Step 2: Convert to fraction form
    388,085.85/582,128.91 = 174,604.41/x
  3. Step 3: Cross multiply
    388,085.85x = 582,128.91 × 174,604.41
  4. Step 4: Simplify right side
    388,085.85x = 101,642,274,874.49
  5. Step 5: Solve for x
    x = 101,642,274,874.49/388,085.85
  6. Step 6: Final answer
    x = 261,906.68

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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.