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Finding the Fourth Proportional to 305,942.80, 458,736 and 118,735.60

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Solution

The fourth proportional to 305,942.80, 458,736 and 118,735.60 is: 178,034.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,942.80 : 458,736 = 118,735.60 : x
  2. Step 2: Convert to fraction form
    305,942.80/458,736 = 118,735.60/x
  3. Step 3: Cross multiply
    305,942.80x = 458,736 × 118,735.60
  4. Step 4: Simplify right side
    305,942.80x = 54,468,294,201.60
  5. Step 5: Solve for x
    x = 54,468,294,201.60/305,942.80
  6. Step 6: Final answer
    x = 178,034.24

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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.