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Finding the Fourth Proportional to 388,201.75, 582,302.63 and 107,719

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Solution

The fourth proportional to 388,201.75, 582,302.63 and 107,719 is: 161,578.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,201.75 : 582,302.63 = 107,719 : x
  2. Step 2: Convert to fraction form
    388,201.75/582,302.63 = 107,719/x
  3. Step 3: Cross multiply
    388,201.75x = 582,302.63 × 107,719
  4. Step 4: Simplify right side
    388,201.75x = 62,725,057,000.97
  5. Step 5: Solve for x
    x = 62,725,057,000.97/388,201.75
  6. Step 6: Final answer
    x = 161,578.50

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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.