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Finding the Fourth Proportional to 769,744, 1,062,213.31 and 420,878.01

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Solution

The fourth proportional to 769,744, 1,062,213.31 and 420,878.01 is: 580,793.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,744 : 1,062,213.31 = 420,878.01 : x
  2. Step 2: Convert to fraction form
    769,744/1,062,213.31 = 420,878.01/x
  3. Step 3: Cross multiply
    769,744x = 1,062,213.31 × 420,878.01
  4. Step 4: Simplify right side
    769,744x = 447,062,224,108.31
  5. Step 5: Solve for x
    x = 447,062,224,108.31/769,744
  6. Step 6: Final answer
    x = 580,793.39

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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.