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Finding the Fourth Proportional to 399,882.68, 551,839.19 and 218,596.78

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Solution

The fourth proportional to 399,882.68, 551,839.19 and 218,596.78 is: 301,664.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,882.68 : 551,839.19 = 218,596.78 : x
  2. Step 2: Convert to fraction form
    399,882.68/551,839.19 = 218,596.78/x
  3. Step 3: Cross multiply
    399,882.68x = 551,839.19 × 218,596.78
  4. Step 4: Simplify right side
    399,882.68x = 120,630,270,011.81
  5. Step 5: Solve for x
    x = 120,630,270,011.81/399,882.68
  6. Step 6: Final answer
    x = 301,664.15

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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.