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Finding the Fourth Proportional to 557,895.20, 770,092.83 and 331,538

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Solution

The fourth proportional to 557,895.20, 770,092.83 and 331,538 is: 457,639.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,895.20 : 770,092.83 = 331,538 : x
  2. Step 2: Convert to fraction form
    557,895.20/770,092.83 = 331,538/x
  3. Step 3: Cross multiply
    557,895.20x = 770,092.83 × 331,538
  4. Step 4: Simplify right side
    557,895.20x = 255,315,036,672.54
  5. Step 5: Solve for x
    x = 255,315,036,672.54/557,895.20
  6. Step 6: Final answer
    x = 457,639.78

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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.