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Finding the Fourth Proportional to 280,512.40, 420,768.60 and 196,531.60

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Solution

The fourth proportional to 280,512.40, 420,768.60 and 196,531.60 is: 294,797.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,512.40 : 420,768.60 = 196,531.60 : x
  2. Step 2: Convert to fraction form
    280,512.40/420,768.60 = 196,531.60/x
  3. Step 3: Cross multiply
    280,512.40x = 420,768.60 × 196,531.60
  4. Step 4: Simplify right side
    280,512.40x = 82,694,326,187.76
  5. Step 5: Solve for x
    x = 82,694,326,187.76/280,512.40
  6. Step 6: Final answer
    x = 294,797.40

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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.