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Finding the Fourth Proportional to 493,309.92, 739,521.96 and 409,608

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Solution

The fourth proportional to 493,309.92, 739,521.96 and 409,608 is: 614,044.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,309.92 : 739,521.96 = 409,608 : x
  2. Step 2: Convert to fraction form
    493,309.92/739,521.96 = 409,608/x
  3. Step 3: Cross multiply
    493,309.92x = 739,521.96 × 409,608
  4. Step 4: Simplify right side
    493,309.92x = 302,914,110,991.68
  5. Step 5: Solve for x
    x = 302,914,110,991.68/493,309.92
  6. Step 6: Final answer
    x = 614,044.23

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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.