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Finding the Fourth Proportional to 398,385.54, 597,640.55 and 161,744.85

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Solution

The fourth proportional to 398,385.54, 597,640.55 and 161,744.85 is: 242,642.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,385.54 : 597,640.55 = 161,744.85 : x
  2. Step 2: Convert to fraction form
    398,385.54/597,640.55 = 161,744.85/x
  3. Step 3: Cross multiply
    398,385.54x = 597,640.55 × 161,744.85
  4. Step 4: Simplify right side
    398,385.54x = 96,665,280,304.94
  5. Step 5: Solve for x
    x = 96,665,280,304.94/398,385.54
  6. Step 6: Final answer
    x = 242,642.54

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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.