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Finding the Fourth Proportional to 280,858.14, 420,914.61 and 122,914.62

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Solution

The fourth proportional to 280,858.14, 420,914.61 and 122,914.62 is: 184,208.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,858.14 : 420,914.61 = 122,914.62 : x
  2. Step 2: Convert to fraction form
    280,858.14/420,914.61 = 122,914.62/x
  3. Step 3: Cross multiply
    280,858.14x = 420,914.61 × 122,914.62
  4. Step 4: Simplify right side
    280,858.14x = 51,736,559,340.60
  5. Step 5: Solve for x
    x = 51,736,559,340.60/280,858.14
  6. Step 6: Final answer
    x = 184,208.87

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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.