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Finding the Fourth Proportional to 769,100.43, 1,061,380 and 424,958.54

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Solution

The fourth proportional to 769,100.43, 1,061,380 and 424,958.54 is: 586,454.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,100.43 : 1,061,380 = 424,958.54 : x
  2. Step 2: Convert to fraction form
    769,100.43/1,061,380 = 424,958.54/x
  3. Step 3: Cross multiply
    769,100.43x = 1,061,380 × 424,958.54
  4. Step 4: Simplify right side
    769,100.43x = 451,042,495,185.20
  5. Step 5: Solve for x
    x = 451,042,495,185.20/769,100.43
  6. Step 6: Final answer
    x = 586,454.61

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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.