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Finding the Fourth Proportional to 428,115.60, 642,180.60 and 162,001.44

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Solution

The fourth proportional to 428,115.60, 642,180.60 and 162,001.44 is: 243,004.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,115.60 : 642,180.60 = 162,001.44 : x
  2. Step 2: Convert to fraction form
    428,115.60/642,180.60 = 162,001.44/x
  3. Step 3: Cross multiply
    428,115.60x = 642,180.60 × 162,001.44
  4. Step 4: Simplify right side
    428,115.60x = 104,034,181,940.06
  5. Step 5: Solve for x
    x = 104,034,181,940.06/428,115.60
  6. Step 6: Final answer
    x = 243,004.88

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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.