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Finding the Fourth Proportional to 275,743.25, 380,525.88 and 154,884.60

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Solution

The fourth proportional to 275,743.25, 380,525.88 and 154,884.60 is: 213,740.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,743.25 : 380,525.88 = 154,884.60 : x
  2. Step 2: Convert to fraction form
    275,743.25/380,525.88 = 154,884.60/x
  3. Step 3: Cross multiply
    275,743.25x = 380,525.88 × 154,884.60
  4. Step 4: Simplify right side
    275,743.25x = 58,937,599,294.27
  5. Step 5: Solve for x
    x = 58,937,599,294.27/275,743.25
  6. Step 6: Final answer
    x = 213,740.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.