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Finding the Fourth Proportional to 409,288.48, 614,351.64 and 337,983.92

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Solution

The fourth proportional to 409,288.48, 614,351.64 and 337,983.92 is: 507,321.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,288.48 : 614,351.64 = 337,983.92 : x
  2. Step 2: Convert to fraction form
    409,288.48/614,351.64 = 337,983.92/x
  3. Step 3: Cross multiply
    409,288.48x = 614,351.64 × 337,983.92
  4. Step 4: Simplify right side
    409,288.48x = 207,640,975,545.63
  5. Step 5: Solve for x
    x = 207,640,975,545.63/409,288.48
  6. Step 6: Final answer
    x = 507,321.82

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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.