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Finding the Fourth Proportional to 345,458.57, 517,794.78 and 210,224.38

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Solution

The fourth proportional to 345,458.57, 517,794.78 and 210,224.38 is: 315,097.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,458.57 : 517,794.78 = 210,224.38 : x
  2. Step 2: Convert to fraction form
    345,458.57/517,794.78 = 210,224.38/x
  3. Step 3: Cross multiply
    345,458.57x = 517,794.78 × 210,224.38
  4. Step 4: Simplify right side
    345,458.57x = 108,853,085,874.94
  5. Step 5: Solve for x
    x = 108,853,085,874.94/345,458.57
  6. Step 6: Final answer
    x = 315,097.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.