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Finding the Fourth Proportional to 428,533.44, 642,540.88 and 191,832

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Solution

The fourth proportional to 428,533.44, 642,540.88 and 191,832 is: 287,631.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,533.44 : 642,540.88 = 191,832 : x
  2. Step 2: Convert to fraction form
    428,533.44/642,540.88 = 191,832/x
  3. Step 3: Cross multiply
    428,533.44x = 642,540.88 × 191,832
  4. Step 4: Simplify right side
    428,533.44x = 123,259,902,092.16
  5. Step 5: Solve for x
    x = 123,259,902,092.16/428,533.44
  6. Step 6: Final answer
    x = 287,631.93

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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.