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Finding the Fourth Proportional to 253,972.82, 381,005.87 and 207,004.56

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Solution

The fourth proportional to 253,972.82, 381,005.87 and 207,004.56 is: 310,544.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,972.82 : 381,005.87 = 207,004.56 : x
  2. Step 2: Convert to fraction form
    253,972.82/381,005.87 = 207,004.56/x
  3. Step 3: Cross multiply
    253,972.82x = 381,005.87 × 207,004.56
  4. Step 4: Simplify right side
    253,972.82x = 78,869,951,441.74
  5. Step 5: Solve for x
    x = 78,869,951,441.74/253,972.82
  6. Step 6: Final answer
    x = 310,544.86

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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.