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Finding the Fourth Proportional to 378,090.44, 521,788.10 and 208,324.52

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Solution

The fourth proportional to 378,090.44, 521,788.10 and 208,324.52 is: 287,500.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,090.44 : 521,788.10 = 208,324.52 : x
  2. Step 2: Convert to fraction form
    378,090.44/521,788.10 = 208,324.52/x
  3. Step 3: Cross multiply
    378,090.44x = 521,788.10 × 208,324.52
  4. Step 4: Simplify right side
    378,090.44x = 108,701,255,474.21
  5. Step 5: Solve for x
    x = 108,701,255,474.21/378,090.44
  6. Step 6: Final answer
    x = 287,500.67

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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.