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Finding the Fourth Proportional to 275,496.10, 380,222.99 and 153,016

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Solution

The fourth proportional to 275,496.10, 380,222.99 and 153,016 is: 211,183.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,496.10 : 380,222.99 = 153,016 : x
  2. Step 2: Convert to fraction form
    275,496.10/380,222.99 = 153,016/x
  3. Step 3: Cross multiply
    275,496.10x = 380,222.99 × 153,016
  4. Step 4: Simplify right side
    275,496.10x = 58,180,201,037.84
  5. Step 5: Solve for x
    x = 58,180,201,037.84/275,496.10
  6. Step 6: Final answer
    x = 211,183.39

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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.