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Finding the Fourth Proportional to 280,228.20, 419,880.60 and 161,692.80

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Solution

The fourth proportional to 280,228.20, 419,880.60 and 161,692.80 is: 242,272.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,228.20 : 419,880.60 = 161,692.80 : x
  2. Step 2: Convert to fraction form
    280,228.20/419,880.60 = 161,692.80/x
  3. Step 3: Cross multiply
    280,228.20x = 419,880.60 × 161,692.80
  4. Step 4: Simplify right side
    280,228.20x = 67,891,669,879.68
  5. Step 5: Solve for x
    x = 67,891,669,879.68/280,228.20
  6. Step 6: Final answer
    x = 242,272.80

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1.5x scale

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.