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Finding the Fourth Proportional to 398,395.22, 597,709.62 and 128,517.95

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Solution

The fourth proportional to 398,395.22, 597,709.62 and 128,517.95 is: 192,814.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,395.22 : 597,709.62 = 128,517.95 : x
  2. Step 2: Convert to fraction form
    398,395.22/597,709.62 = 128,517.95/x
  3. Step 3: Cross multiply
    398,395.22x = 597,709.62 × 128,517.95
  4. Step 4: Simplify right side
    398,395.22x = 76,816,415,057.68
  5. Step 5: Solve for x
    x = 76,816,415,057.68/398,395.22
  6. Step 6: Final answer
    x = 192,814.60

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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.