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Finding the Fourth Proportional to 523,769.44, 785,998.68 and 287,278

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Solution

The fourth proportional to 523,769.44, 785,998.68 and 287,278 is: 431,105.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,769.44 : 785,998.68 = 287,278 : x
  2. Step 2: Convert to fraction form
    523,769.44/785,998.68 = 287,278/x
  3. Step 3: Cross multiply
    523,769.44x = 785,998.68 × 287,278
  4. Step 4: Simplify right side
    523,769.44x = 225,800,128,793.04
  5. Step 5: Solve for x
    x = 225,800,128,793.04/523,769.44
  6. Step 6: Final answer
    x = 431,105.96

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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.