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Finding the Fourth Proportional to 280,137.20, 419,428.20 and 272,361.20

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Solution

The fourth proportional to 280,137.20, 419,428.20 and 272,361.20 is: 407,785.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,137.20 : 419,428.20 = 272,361.20 : x
  2. Step 2: Convert to fraction form
    280,137.20/419,428.20 = 272,361.20/x
  3. Step 3: Cross multiply
    280,137.20x = 419,428.20 × 272,361.20
  4. Step 4: Simplify right side
    280,137.20x = 114,235,967,865.84
  5. Step 5: Solve for x
    x = 114,235,967,865.84/280,137.20
  6. Step 6: Final answer
    x = 407,785.78

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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.