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Finding the Fourth Proportional to 398,796.80, 598,180.80 and 162,132.80

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Solution

The fourth proportional to 398,796.80, 598,180.80 and 162,132.80 is: 243,193.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,796.80 : 598,180.80 = 162,132.80 : x
  2. Step 2: Convert to fraction form
    398,796.80/598,180.80 = 162,132.80/x
  3. Step 3: Cross multiply
    398,796.80x = 598,180.80 × 162,132.80
  4. Step 4: Simplify right side
    398,796.80x = 96,984,728,010.24
  5. Step 5: Solve for x
    x = 96,984,728,010.24/398,796.80
  6. Step 6: Final answer
    x = 243,193.35

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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.