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Finding the Fourth Proportional to 252,299.28, 378,522 and 74,809.68

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Solution

The fourth proportional to 252,299.28, 378,522 and 74,809.68 is: 112,236.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,299.28 : 378,522 = 74,809.68 : x
  2. Step 2: Convert to fraction form
    252,299.28/378,522 = 74,809.68/x
  3. Step 3: Cross multiply
    252,299.28x = 378,522 × 74,809.68
  4. Step 4: Simplify right side
    252,299.28x = 28,317,109,692.96
  5. Step 5: Solve for x
    x = 28,317,109,692.96/252,299.28
  6. Step 6: Final answer
    x = 112,236.19

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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.