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Finding the Fourth Proportional to 398,769.80, 597,638 and 161,983.32

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Solution

The fourth proportional to 398,769.80, 597,638 and 161,983.32 is: 242,765.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,769.80 : 597,638 = 161,983.32 : x
  2. Step 2: Convert to fraction form
    398,769.80/597,638 = 161,983.32/x
  3. Step 3: Cross multiply
    398,769.80x = 597,638 × 161,983.32
  4. Step 4: Simplify right side
    398,769.80x = 96,807,387,398.16
  5. Step 5: Solve for x
    x = 96,807,387,398.16/398,769.80
  6. Step 6: Final answer
    x = 242,765.09

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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.