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Finding the Fourth Proportional to 427,447.89, 641,905.36 and 379,524.80

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Solution

The fourth proportional to 427,447.89, 641,905.36 and 379,524.80 is: 569,938.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,447.89 : 641,905.36 = 379,524.80 : x
  2. Step 2: Convert to fraction form
    427,447.89/641,905.36 = 379,524.80/x
  3. Step 3: Cross multiply
    427,447.89x = 641,905.36 × 379,524.80
  4. Step 4: Simplify right side
    427,447.89x = 243,619,004,028.88
  5. Step 5: Solve for x
    x = 243,619,004,028.88/427,447.89
  6. Step 6: Final answer
    x = 569,938.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.