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Finding the Fourth Proportional to 465,578.92, 698,857.03 and 412,609.78

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Solution

The fourth proportional to 465,578.92, 698,857.03 and 412,609.78 is: 619,347.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,578.92 : 698,857.03 = 412,609.78 : x
  2. Step 2: Convert to fraction form
    465,578.92/698,857.03 = 412,609.78/x
  3. Step 3: Cross multiply
    465,578.92x = 698,857.03 × 412,609.78
  4. Step 4: Simplify right side
    465,578.92x = 288,355,246,789.09
  5. Step 5: Solve for x
    x = 288,355,246,789.09/465,578.92
  6. Step 6: Final answer
    x = 619,347.73

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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.