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Finding the Fourth Proportional to 299,249.56, 412,904.22 and 190,397.08

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Solution

The fourth proportional to 299,249.56, 412,904.22 and 190,397.08 is: 262,709.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,249.56 : 412,904.22 = 190,397.08 : x
  2. Step 2: Convert to fraction form
    299,249.56/412,904.22 = 190,397.08/x
  3. Step 3: Cross multiply
    299,249.56x = 412,904.22 × 190,397.08
  4. Step 4: Simplify right side
    299,249.56x = 78,615,757,807.68
  5. Step 5: Solve for x
    x = 78,615,757,807.68/299,249.56
  6. Step 6: Final answer
    x = 262,709.69

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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.