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Finding the Fourth Proportional to 378,888, 522,805.92 and 217,711.92

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Solution

The fourth proportional to 378,888, 522,805.92 and 217,711.92 is: 300,408.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,888 : 522,805.92 = 217,711.92 : x
  2. Step 2: Convert to fraction form
    378,888/522,805.92 = 217,711.92/x
  3. Step 3: Cross multiply
    378,888x = 522,805.92 × 217,711.92
  4. Step 4: Simplify right side
    378,888x = 113,821,080,630.57
  5. Step 5: Solve for x
    x = 113,821,080,630.57/378,888
  6. Step 6: Final answer
    x = 300,408.25

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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.