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Finding the Fourth Proportional to 399,846.26, 551,766.56 and 218,523.26

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Solution

The fourth proportional to 399,846.26, 551,766.56 and 218,523.26 is: 301,550.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,846.26 : 551,766.56 = 218,523.26 : x
  2. Step 2: Convert to fraction form
    399,846.26/551,766.56 = 218,523.26/x
  3. Step 3: Cross multiply
    399,846.26x = 551,766.56 × 218,523.26
  4. Step 4: Simplify right side
    399,846.26x = 120,573,827,450.19
  5. Step 5: Solve for x
    x = 120,573,827,450.19/399,846.26
  6. Step 6: Final answer
    x = 301,550.47

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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.