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Finding the Fourth Proportional to 253,644.76, 380,470.38 and 120,538

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Solution

The fourth proportional to 253,644.76, 380,470.38 and 120,538 is: 180,808.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,644.76 : 380,470.38 = 120,538 : x
  2. Step 2: Convert to fraction form
    253,644.76/380,470.38 = 120,538/x
  3. Step 3: Cross multiply
    253,644.76x = 380,470.38 × 120,538
  4. Step 4: Simplify right side
    253,644.76x = 45,861,138,664.44
  5. Step 5: Solve for x
    x = 45,861,138,664.44/253,644.76
  6. Step 6: Final answer
    x = 180,808.54

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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.