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Finding the Fourth Proportional to 378,086.54, 521,595.48 and 225,038.91

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Solution

The fourth proportional to 378,086.54, 521,595.48 and 225,038.91 is: 310,456.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,086.54 : 521,595.48 = 225,038.91 : x
  2. Step 2: Convert to fraction form
    378,086.54/521,595.48 = 225,038.91/x
  3. Step 3: Cross multiply
    378,086.54x = 521,595.48 × 225,038.91
  4. Step 4: Simplify right side
    378,086.54x = 117,379,280,033.73
  5. Step 5: Solve for x
    x = 117,379,280,033.73/378,086.54
  6. Step 6: Final answer
    x = 310,456.12

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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.