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Finding the Fourth Proportional to 428,072.80, 642,109.20 and 218,120.80

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Solution

The fourth proportional to 428,072.80, 642,109.20 and 218,120.80 is: 327,181.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,072.80 : 642,109.20 = 218,120.80 : x
  2. Step 2: Convert to fraction form
    428,072.80/642,109.20 = 218,120.80/x
  3. Step 3: Cross multiply
    428,072.80x = 642,109.20 × 218,120.80
  4. Step 4: Simplify right side
    428,072.80x = 140,057,372,391.36
  5. Step 5: Solve for x
    x = 140,057,372,391.36/428,072.80
  6. Step 6: Final answer
    x = 327,181.20

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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.