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Finding the Fourth Proportional to 777,805, 1,073,371.62 and 420,109

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Solution

The fourth proportional to 777,805, 1,073,371.62 and 420,109 is: 579,750.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,805 : 1,073,371.62 = 420,109 : x
  2. Step 2: Convert to fraction form
    777,805/1,073,371.62 = 420,109/x
  3. Step 3: Cross multiply
    777,805x = 1,073,371.62 × 420,109
  4. Step 4: Simplify right side
    777,805x = 450,933,077,906.58
  5. Step 5: Solve for x
    x = 450,933,077,906.58/777,805
  6. Step 6: Final answer
    x = 579,750.81

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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.