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Finding the Fourth Proportional to 796,239, 1,098,809.82 and 438,543

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Solution

The fourth proportional to 796,239, 1,098,809.82 and 438,543 is: 605,189.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,239 : 1,098,809.82 = 438,543 : x
  2. Step 2: Convert to fraction form
    796,239/1,098,809.82 = 438,543/x
  3. Step 3: Cross multiply
    796,239x = 1,098,809.82 × 438,543
  4. Step 4: Simplify right side
    796,239x = 481,875,354,892.26
  5. Step 5: Solve for x
    x = 481,875,354,892.26/796,239
  6. Step 6: Final answer
    x = 605,189.34

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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.