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Finding the Fourth Proportional to 363,770.88, 501,978 and 200,420.16

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Solution

The fourth proportional to 363,770.88, 501,978 and 200,420.16 is: 276,565.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,770.88 : 501,978 = 200,420.16 : x
  2. Step 2: Convert to fraction form
    363,770.88/501,978 = 200,420.16/x
  3. Step 3: Cross multiply
    363,770.88x = 501,978 × 200,420.16
  4. Step 4: Simplify right side
    363,770.88x = 100,606,511,076.48
  5. Step 5: Solve for x
    x = 100,606,511,076.48/363,770.88
  6. Step 6: Final answer
    x = 276,565.60

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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.