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Finding the Fourth Proportional to 398,716.58, 597,972.18 and 118,168.22

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Solution

The fourth proportional to 398,716.58, 597,972.18 and 118,168.22 is: 177,221.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,716.58 : 597,972.18 = 118,168.22 : x
  2. Step 2: Convert to fraction form
    398,716.58/597,972.18 = 118,168.22/x
  3. Step 3: Cross multiply
    398,716.58x = 597,972.18 × 118,168.22
  4. Step 4: Simplify right side
    398,716.58x = 70,661,308,120.12
  5. Step 5: Solve for x
    x = 70,661,308,120.12/398,716.58
  6. Step 6: Final answer
    x = 177,221.90

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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.