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Finding the Fourth Proportional to 399,507.92, 551,296.50 and 218,183.12

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Solution

The fourth proportional to 399,507.92, 551,296.50 and 218,183.12 is: 301,079.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,507.92 : 551,296.50 = 218,183.12 : x
  2. Step 2: Convert to fraction form
    399,507.92/551,296.50 = 218,183.12/x
  3. Step 3: Cross multiply
    399,507.92x = 551,296.50 × 218,183.12
  4. Step 4: Simplify right side
    399,507.92x = 120,283,590,415.08
  5. Step 5: Solve for x
    x = 120,283,590,415.08/399,507.92
  6. Step 6: Final answer
    x = 301,079.36

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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.