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Finding the Fourth Proportional to 399,338.28, 551,088.02 and 218,051.80

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Solution

The fourth proportional to 399,338.28, 551,088.02 and 218,051.80 is: 300,912.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,338.28 : 551,088.02 = 218,051.80 : x
  2. Step 2: Convert to fraction form
    399,338.28/551,088.02 = 218,051.80/x
  3. Step 3: Cross multiply
    399,338.28x = 551,088.02 × 218,051.80
  4. Step 4: Simplify right side
    399,338.28x = 120,165,734,719.44
  5. Step 5: Solve for x
    x = 120,165,734,719.44/399,338.28
  6. Step 6: Final answer
    x = 300,912.14

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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.