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Finding the Fourth Proportional to 378,105.58, 521,761.37 and 225,155

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Solution

The fourth proportional to 378,105.58, 521,761.37 and 225,155 is: 310,699.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,105.58 : 521,761.37 = 225,155 : x
  2. Step 2: Convert to fraction form
    378,105.58/521,761.37 = 225,155/x
  3. Step 3: Cross multiply
    378,105.58x = 521,761.37 × 225,155
  4. Step 4: Simplify right side
    378,105.58x = 117,477,181,262.35
  5. Step 5: Solve for x
    x = 117,477,181,262.35/378,105.58
  6. Step 6: Final answer
    x = 310,699.41

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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.