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Finding the Fourth Proportional to 378,884.14, 522,847.06 and 225,843.41

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Solution

The fourth proportional to 378,884.14, 522,847.06 and 225,843.41 is: 311,656.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,884.14 : 522,847.06 = 225,843.41 : x
  2. Step 2: Convert to fraction form
    378,884.14/522,847.06 = 225,843.41/x
  3. Step 3: Cross multiply
    378,884.14x = 522,847.06 × 225,843.41
  4. Step 4: Simplify right side
    378,884.14x = 118,081,563,681.38
  5. Step 5: Solve for x
    x = 118,081,563,681.38/378,884.14
  6. Step 6: Final answer
    x = 311,656.13

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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.