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Finding the Fourth Proportional to 279,355.20, 419,907.60 and 274,106.40

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Solution

The fourth proportional to 279,355.20, 419,907.60 and 274,106.40 is: 412,017.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,355.20 : 419,907.60 = 274,106.40 : x
  2. Step 2: Convert to fraction form
    279,355.20/419,907.60 = 274,106.40/x
  3. Step 3: Cross multiply
    279,355.20x = 419,907.60 × 274,106.40
  4. Step 4: Simplify right side
    279,355.20x = 115,099,360,568.64
  5. Step 5: Solve for x
    x = 115,099,360,568.64/279,355.20
  6. Step 6: Final answer
    x = 412,017.96

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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.