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Finding the Fourth Proportional to 378,049.96, 521,710.26 and 208,283.68

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Solution

The fourth proportional to 378,049.96, 521,710.26 and 208,283.68 is: 287,432.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,049.96 : 521,710.26 = 208,283.68 : x
  2. Step 2: Convert to fraction form
    378,049.96/521,710.26 = 208,283.68/x
  3. Step 3: Cross multiply
    378,049.96x = 521,710.26 × 208,283.68
  4. Step 4: Simplify right side
    378,049.96x = 108,663,732,846.56
  5. Step 5: Solve for x
    x = 108,663,732,846.56/378,049.96
  6. Step 6: Final answer
    x = 287,432.20

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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.