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Finding the Fourth Proportional to 378,008.90, 521,652.28 and 208,243.03

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Solution

The fourth proportional to 378,008.90, 521,652.28 and 208,243.03 is: 287,375.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,008.90 : 521,652.28 = 208,243.03 : x
  2. Step 2: Convert to fraction form
    378,008.90/521,652.28 = 208,243.03/x
  3. Step 3: Cross multiply
    378,008.90x = 521,652.28 × 208,243.03
  4. Step 4: Simplify right side
    378,008.90x = 108,630,448,884.59
  5. Step 5: Solve for x
    x = 108,630,448,884.59/378,008.90
  6. Step 6: Final answer
    x = 287,375.37

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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.