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Finding the Fourth Proportional to 796,274, 1,098,858.12 and 438,578

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Solution

The fourth proportional to 796,274, 1,098,858.12 and 438,578 is: 605,237.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,274 : 1,098,858.12 = 438,578 : x
  2. Step 2: Convert to fraction form
    796,274/1,098,858.12 = 438,578/x
  3. Step 3: Cross multiply
    796,274x = 1,098,858.12 × 438,578
  4. Step 4: Simplify right side
    796,274x = 481,934,996,553.36
  5. Step 5: Solve for x
    x = 481,934,996,553.36/796,274
  6. Step 6: Final answer
    x = 605,237.64

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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.