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Finding the Fourth Proportional to 777,717, 1,073,249.46 and 420,021

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Solution

The fourth proportional to 777,717, 1,073,249.46 and 420,021 is: 579,628.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,717 : 1,073,249.46 = 420,021 : x
  2. Step 2: Convert to fraction form
    777,717/1,073,249.46 = 420,021/x
  3. Step 3: Cross multiply
    777,717x = 1,073,249.46 × 420,021
  4. Step 4: Simplify right side
    777,717x = 450,787,311,438.66
  5. Step 5: Solve for x
    x = 450,787,311,438.66/777,717
  6. Step 6: Final answer
    x = 579,628.98

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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.