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Finding the Fourth Proportional to 275,475.35, 380,137.43 and 152,961.42

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Solution

The fourth proportional to 275,475.35, 380,137.43 and 152,961.42 is: 211,076.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,475.35 : 380,137.43 = 152,961.42 : x
  2. Step 2: Convert to fraction form
    275,475.35/380,137.43 = 152,961.42/x
  3. Step 3: Cross multiply
    275,475.35x = 380,137.43 × 152,961.42
  4. Step 4: Simplify right side
    275,475.35x = 58,146,360,323.14
  5. Step 5: Solve for x
    x = 58,146,360,323.14/275,475.35
  6. Step 6: Final answer
    x = 211,076.46

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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.