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Finding the Fourth Proportional to 399,505.96, 551,436.42 and 229,859.56

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Solution

The fourth proportional to 399,505.96, 551,436.42 and 229,859.56 is: 317,274.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,505.96 : 551,436.42 = 229,859.56 : x
  2. Step 2: Convert to fraction form
    399,505.96/551,436.42 = 229,859.56/x
  3. Step 3: Cross multiply
    399,505.96x = 551,436.42 × 229,859.56
  4. Step 4: Simplify right side
    399,505.96x = 126,752,932,869.18
  5. Step 5: Solve for x
    x = 126,752,932,869.18/399,505.96
  6. Step 6: Final answer
    x = 317,274.20

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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.