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Finding the Fourth Proportional to 796,250, 1,098,825 and 438,554

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Solution

The fourth proportional to 796,250, 1,098,825 and 438,554 is: 605,204.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,250 : 1,098,825 = 438,554 : x
  2. Step 2: Convert to fraction form
    796,250/1,098,825 = 438,554/x
  3. Step 3: Cross multiply
    796,250x = 1,098,825 × 438,554
  4. Step 4: Simplify right side
    796,250x = 481,894,099,050
  5. Step 5: Solve for x
    x = 481,894,099,050/796,250
  6. Step 6: Final answer
    x = 605,204.52

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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.