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Finding the Fourth Proportional to 278,089.70, 417,258.60 and 128,249.56

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Solution

The fourth proportional to 278,089.70, 417,258.60 and 128,249.56 is: 192,431.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,089.70 : 417,258.60 = 128,249.56 : x
  2. Step 2: Convert to fraction form
    278,089.70/417,258.60 = 128,249.56/x
  3. Step 3: Cross multiply
    278,089.70x = 417,258.60 × 128,249.56
  4. Step 4: Simplify right side
    278,089.70x = 53,513,231,856.22
  5. Step 5: Solve for x
    x = 53,513,231,856.22/278,089.70
  6. Step 6: Final answer
    x = 192,431.55

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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.