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Finding the Fourth Proportional to 500,212.66, 689,665.17 and 397,997.14

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Solution

The fourth proportional to 500,212.66, 689,665.17 and 397,997.14 is: 548,736.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,212.66 : 689,665.17 = 397,997.14 : x
  2. Step 2: Convert to fraction form
    500,212.66/689,665.17 = 397,997.14/x
  3. Step 3: Cross multiply
    500,212.66x = 689,665.17 × 397,997.14
  4. Step 4: Simplify right side
    500,212.66x = 274,484,765,217.61
  5. Step 5: Solve for x
    x = 274,484,765,217.61/500,212.66
  6. Step 6: Final answer
    x = 548,736.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.