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Finding the Fourth Proportional to 278,047.92, 416,760.84 and 120,039.60

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Solution

The fourth proportional to 278,047.92, 416,760.84 and 120,039.60 is: 179,925.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,047.92 : 416,760.84 = 120,039.60 : x
  2. Step 2: Convert to fraction form
    278,047.92/416,760.84 = 120,039.60/x
  3. Step 3: Cross multiply
    278,047.92x = 416,760.84 × 120,039.60
  4. Step 4: Simplify right side
    278,047.92x = 50,027,804,529.26
  5. Step 5: Solve for x
    x = 50,027,804,529.26/278,047.92
  6. Step 6: Final answer
    x = 179,925.12

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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.