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Finding the Fourth Proportional to 280,003.60, 419,896.20 and 122,124.40

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Solution

The fourth proportional to 280,003.60, 419,896.20 and 122,124.40 is: 183,138.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,003.60 : 419,896.20 = 122,124.40 : x
  2. Step 2: Convert to fraction form
    280,003.60/419,896.20 = 122,124.40/x
  3. Step 3: Cross multiply
    280,003.60x = 419,896.20 × 122,124.40
  4. Step 4: Simplify right side
    280,003.60x = 51,279,571,487.28
  5. Step 5: Solve for x
    x = 51,279,571,487.28/280,003.60
  6. Step 6: Final answer
    x = 183,138.97

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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.