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Finding the Fourth Proportional to 817,938, 1,227,018.78 and 285,380.82

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Solution

The fourth proportional to 817,938, 1,227,018.78 and 285,380.82 is: 428,110.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,938 : 1,227,018.78 = 285,380.82 : x
  2. Step 2: Convert to fraction form
    817,938/1,227,018.78 = 285,380.82/x
  3. Step 3: Cross multiply
    817,938x = 1,227,018.78 × 285,380.82
  4. Step 4: Simplify right side
    817,938x = 350,167,625,591.80
  5. Step 5: Solve for x
    x = 350,167,625,591.80/817,938
  6. Step 6: Final answer
    x = 428,110.23

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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.