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Finding the Fourth Proportional to 278,119.68, 416,958.12 and 120,236.64

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Solution

The fourth proportional to 278,119.68, 416,958.12 and 120,236.64 is: 180,259.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,119.68 : 416,958.12 = 120,236.64 : x
  2. Step 2: Convert to fraction form
    278,119.68/416,958.12 = 120,236.64/x
  3. Step 3: Cross multiply
    278,119.68x = 416,958.12 × 120,236.64
  4. Step 4: Simplify right side
    278,119.68x = 50,133,643,369.52
  5. Step 5: Solve for x
    x = 50,133,643,369.52/278,119.68
  6. Step 6: Final answer
    x = 180,259.24

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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.