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Finding the Fourth Proportional to 398,768.80, 597,636.50 and 161,982.32

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Solution

The fourth proportional to 398,768.80, 597,636.50 and 161,982.32 is: 242,763.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,768.80 : 597,636.50 = 161,982.32 : x
  2. Step 2: Convert to fraction form
    398,768.80/597,636.50 = 161,982.32/x
  3. Step 3: Cross multiply
    398,768.80x = 597,636.50 × 161,982.32
  4. Step 4: Simplify right side
    398,768.80x = 96,806,546,786.68
  5. Step 5: Solve for x
    x = 96,806,546,786.68/398,768.80
  6. Step 6: Final answer
    x = 242,763.59

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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.