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Finding the Fourth Proportional to 399,412.80, 551,169.09 and 218,089.80

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Solution

The fourth proportional to 399,412.80, 551,169.09 and 218,089.80 is: 300,952.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,412.80 : 551,169.09 = 218,089.80 : x
  2. Step 2: Convert to fraction form
    399,412.80/551,169.09 = 218,089.80/x
  3. Step 3: Cross multiply
    399,412.80x = 551,169.09 × 218,089.80
  4. Step 4: Simplify right side
    399,412.80x = 120,204,356,604.28
  5. Step 5: Solve for x
    x = 120,204,356,604.28/399,412.80
  6. Step 6: Final answer
    x = 300,952.69

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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.