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Finding the Fourth Proportional to 645,231.98, 890,443 and 354,866

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Solution

The fourth proportional to 645,231.98, 890,443 and 354,866 is: 489,727.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,231.98 : 890,443 = 354,866 : x
  2. Step 2: Convert to fraction form
    645,231.98/890,443 = 354,866/x
  3. Step 3: Cross multiply
    645,231.98x = 890,443 × 354,866
  4. Step 4: Simplify right side
    645,231.98x = 315,987,945,638
  5. Step 5: Solve for x
    x = 315,987,945,638/645,231.98
  6. Step 6: Final answer
    x = 489,727.66

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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.