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Finding the Fourth Proportional to 275,456.92, 380,170.26 and 152,977.24

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Solution

The fourth proportional to 275,456.92, 380,170.26 and 152,977.24 is: 211,130.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,456.92 : 380,170.26 = 152,977.24 : x
  2. Step 2: Convert to fraction form
    275,456.92/380,170.26 = 152,977.24/x
  3. Step 3: Cross multiply
    275,456.92x = 380,170.26 × 152,977.24
  4. Step 4: Simplify right side
    275,456.92x = 58,157,397,104.88
  5. Step 5: Solve for x
    x = 58,157,397,104.88/275,456.92
  6. Step 6: Final answer
    x = 211,130.64

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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.