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Finding the Fourth Proportional to 219,268, 328,954 and 71,524

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Solution

The fourth proportional to 219,268, 328,954 and 71,524 is: 107,302.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,268 : 328,954 = 71,524 : x
  2. Step 2: Convert to fraction form
    219,268/328,954 = 71,524/x
  3. Step 3: Cross multiply
    219,268x = 328,954 × 71,524
  4. Step 4: Simplify right side
    219,268x = 23,528,105,896
  5. Step 5: Solve for x
    x = 23,528,105,896/219,268
  6. Step 6: Final answer
    x = 107,302.96

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