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Finding the Fourth Proportional to 275,378.56, 380,022.60 and 154,503.16

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Solution

The fourth proportional to 275,378.56, 380,022.60 and 154,503.16 is: 213,214.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,378.56 : 380,022.60 = 154,503.16 : x
  2. Step 2: Convert to fraction form
    275,378.56/380,022.60 = 154,503.16/x
  3. Step 3: Cross multiply
    275,378.56x = 380,022.60 × 154,503.16
  4. Step 4: Simplify right side
    275,378.56x = 58,714,692,571.42
  5. Step 5: Solve for x
    x = 58,714,692,571.42/275,378.56
  6. Step 6: Final answer
    x = 213,214.47

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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.