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Finding the Fourth Proportional to 683,647.31, 943,452.32 and 377,743.41

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Solution

The fourth proportional to 683,647.31, 943,452.32 and 377,743.41 is: 521,296.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,647.31 : 943,452.32 = 377,743.41 : x
  2. Step 2: Convert to fraction form
    683,647.31/943,452.32 = 377,743.41/x
  3. Step 3: Cross multiply
    683,647.31x = 943,452.32 × 377,743.41
  4. Step 4: Simplify right side
    683,647.31x = 356,382,894,640.49
  5. Step 5: Solve for x
    x = 356,382,894,640.49/683,647.31
  6. Step 6: Final answer
    x = 521,296.42

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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.