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Finding the Fourth Proportional to 777,603, 1,073,092.14 and 419,907

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Solution

The fourth proportional to 777,603, 1,073,092.14 and 419,907 is: 579,471.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,603 : 1,073,092.14 = 419,907 : x
  2. Step 2: Convert to fraction form
    777,603/1,073,092.14 = 419,907/x
  3. Step 3: Cross multiply
    777,603x = 1,073,092.14 × 419,907
  4. Step 4: Simplify right side
    777,603x = 450,598,901,230.98
  5. Step 5: Solve for x
    x = 450,598,901,230.98/777,603
  6. Step 6: Final answer
    x = 579,471.66

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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.