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Finding the Fourth Proportional to 378,006.06, 521,649.30 and 208,243.02

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Solution

The fourth proportional to 378,006.06, 521,649.30 and 208,243.02 is: 287,375.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,006.06 : 521,649.30 = 208,243.02 : x
  2. Step 2: Convert to fraction form
    378,006.06/521,649.30 = 208,243.02/x
  3. Step 3: Cross multiply
    378,006.06x = 521,649.30 × 208,243.02
  4. Step 4: Simplify right side
    378,006.06x = 108,629,825,612.89
  5. Step 5: Solve for x
    x = 108,629,825,612.89/378,006.06
  6. Step 6: Final answer
    x = 287,375.88

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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.