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Finding the Fourth Proportional to 278,321.60, 417,104.76 and 128,231.84

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Solution

The fourth proportional to 278,321.60, 417,104.76 and 128,231.84 is: 192,173.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,321.60 : 417,104.76 = 128,231.84 : x
  2. Step 2: Convert to fraction form
    278,321.60/417,104.76 = 128,231.84/x
  3. Step 3: Cross multiply
    278,321.60x = 417,104.76 × 128,231.84
  4. Step 4: Simplify right side
    278,321.60x = 53,486,110,847.56
  5. Step 5: Solve for x
    x = 53,486,110,847.56/278,321.60
  6. Step 6: Final answer
    x = 192,173.77

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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.