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Finding the Fourth Proportional to 419,729.40, 579,227 and 228,742.94

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Solution

The fourth proportional to 419,729.40, 579,227 and 228,742.94 is: 315,665.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,729.40 : 579,227 = 228,742.94 : x
  2. Step 2: Convert to fraction form
    419,729.40/579,227 = 228,742.94/x
  3. Step 3: Cross multiply
    419,729.40x = 579,227 × 228,742.94
  4. Step 4: Simplify right side
    419,729.40x = 132,494,086,907.38
  5. Step 5: Solve for x
    x = 132,494,086,907.38/419,729.40
  6. Step 6: Final answer
    x = 315,665.49

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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.