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Finding the Fourth Proportional to 339,642.78, 468,709.17 and 212,392.86

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Solution

The fourth proportional to 339,642.78, 468,709.17 and 212,392.86 is: 293,103.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,642.78 : 468,709.17 = 212,392.86 : x
  2. Step 2: Convert to fraction form
    339,642.78/468,709.17 = 212,392.86/x
  3. Step 3: Cross multiply
    339,642.78x = 468,709.17 × 212,392.86
  4. Step 4: Simplify right side
    339,642.78x = 99,550,481,124.53
  5. Step 5: Solve for x
    x = 99,550,481,124.53/339,642.78
  6. Step 6: Final answer
    x = 293,103.48

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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.