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Finding the Fourth Proportional to 253,793.65, 380,876.54 and 204,469.28

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Solution

The fourth proportional to 253,793.65, 380,876.54 and 204,469.28 is: 306,853.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,793.65 : 380,876.54 = 204,469.28 : x
  2. Step 2: Convert to fraction form
    253,793.65/380,876.54 = 204,469.28/x
  3. Step 3: Cross multiply
    253,793.65x = 380,876.54 × 204,469.28
  4. Step 4: Simplify right side
    253,793.65x = 77,877,550,979.32
  5. Step 5: Solve for x
    x = 77,877,550,979.32/253,793.65
  6. Step 6: Final answer
    x = 306,853.82

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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.