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Finding the Fourth Proportional to 405,961.60, 608,942.40 and 273,251.20

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Solution

The fourth proportional to 405,961.60, 608,942.40 and 273,251.20 is: 409,876.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,961.60 : 608,942.40 = 273,251.20 : x
  2. Step 2: Convert to fraction form
    405,961.60/608,942.40 = 273,251.20/x
  3. Step 3: Cross multiply
    405,961.60x = 608,942.40 × 273,251.20
  4. Step 4: Simplify right side
    405,961.60x = 166,394,241,530.88
  5. Step 5: Solve for x
    x = 166,394,241,530.88/405,961.60
  6. Step 6: Final answer
    x = 409,876.80

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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.