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Finding the Fourth Proportional to 796,236, 1,098,805.68 and 438,540

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Solution

The fourth proportional to 796,236, 1,098,805.68 and 438,540 is: 605,185.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,236 : 1,098,805.68 = 438,540 : x
  2. Step 2: Convert to fraction form
    796,236/1,098,805.68 = 438,540/x
  3. Step 3: Cross multiply
    796,236x = 1,098,805.68 × 438,540
  4. Step 4: Simplify right side
    796,236x = 481,870,242,907.20
  5. Step 5: Solve for x
    x = 481,870,242,907.20/796,236
  6. Step 6: Final answer
    x = 605,185.20

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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.