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Finding the Fourth Proportional to 378,389.34, 522,390.87 and 251,238.78

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Solution

The fourth proportional to 378,389.34, 522,390.87 and 251,238.78 is: 346,851.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,389.34 : 522,390.87 = 251,238.78 : x
  2. Step 2: Convert to fraction form
    378,389.34/522,390.87 = 251,238.78/x
  3. Step 3: Cross multiply
    378,389.34x = 522,390.87 × 251,238.78
  4. Step 4: Simplify right side
    378,389.34x = 131,244,844,861.94
  5. Step 5: Solve for x
    x = 131,244,844,861.94/378,389.34
  6. Step 6: Final answer
    x = 346,851.33

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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.