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Finding the Fourth Proportional to 777,615, 1,073,108.70 and 419,919

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Solution

The fourth proportional to 777,615, 1,073,108.70 and 419,919 is: 579,488.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,615 : 1,073,108.70 = 419,919 : x
  2. Step 2: Convert to fraction form
    777,615/1,073,108.70 = 419,919/x
  3. Step 3: Cross multiply
    777,615x = 1,073,108.70 × 419,919
  4. Step 4: Simplify right side
    777,615x = 450,618,732,195.30
  5. Step 5: Solve for x
    x = 450,618,732,195.30/777,615
  6. Step 6: Final answer
    x = 579,488.22

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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.