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Finding the Fourth Proportional to 428,793.75, 643,190.63 and 179,475.75

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Solution

The fourth proportional to 428,793.75, 643,190.63 and 179,475.75 is: 269,213.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,793.75 : 643,190.63 = 179,475.75 : x
  2. Step 2: Convert to fraction form
    428,793.75/643,190.63 = 179,475.75/x
  3. Step 3: Cross multiply
    428,793.75x = 643,190.63 × 179,475.75
  4. Step 4: Simplify right side
    428,793.75x = 115,437,119,814.84
  5. Step 5: Solve for x
    x = 115,437,119,814.84/428,793.75
  6. Step 6: Final answer
    x = 269,213.63

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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.