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Finding the Fourth Proportional to 253,872.82, 380,819.67 and 209,416.78

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Solution

The fourth proportional to 253,872.82, 380,819.67 and 209,416.78 is: 314,133.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,872.82 : 380,819.67 = 209,416.78 : x
  2. Step 2: Convert to fraction form
    253,872.82/380,819.67 = 209,416.78/x
  3. Step 3: Cross multiply
    253,872.82x = 380,819.67 × 209,416.78
  4. Step 4: Simplify right side
    253,872.82x = 79,750,029,052.06
  5. Step 5: Solve for x
    x = 79,750,029,052.06/253,872.82
  6. Step 6: Final answer
    x = 314,133.78

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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.