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Finding the Fourth Proportional to 299,249.78, 412,964.71 and 191,820.02

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Solution

The fourth proportional to 299,249.78, 412,964.71 and 191,820.02 is: 264,711.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,249.78 : 412,964.71 = 191,820.02 : x
  2. Step 2: Convert to fraction form
    299,249.78/412,964.71 = 191,820.02/x
  3. Step 3: Cross multiply
    299,249.78x = 412,964.71 × 191,820.02
  4. Step 4: Simplify right side
    299,249.78x = 79,214,896,387.12
  5. Step 5: Solve for x
    x = 79,214,896,387.12/299,249.78
  6. Step 6: Final answer
    x = 264,711.63

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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.