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Finding the Fourth Proportional to 377,885.56, 521,471.44 and 205,799.64

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Solution

The fourth proportional to 377,885.56, 521,471.44 and 205,799.64 is: 283,997.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,885.56 : 521,471.44 = 205,799.64 : x
  2. Step 2: Convert to fraction form
    377,885.56/521,471.44 = 205,799.64/x
  3. Step 3: Cross multiply
    377,885.56x = 521,471.44 × 205,799.64
  4. Step 4: Simplify right side
    377,885.56x = 107,318,634,622.28
  5. Step 5: Solve for x
    x = 107,318,634,622.28/377,885.56
  6. Step 6: Final answer
    x = 283,997.71

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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.