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Finding the Fourth Proportional to 275,942.43, 380,803.95 and 155,076.66

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Solution

The fourth proportional to 275,942.43, 380,803.95 and 155,076.66 is: 214,007.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,942.43 : 380,803.95 = 155,076.66 : x
  2. Step 2: Convert to fraction form
    275,942.43/380,803.95 = 155,076.66/x
  3. Step 3: Cross multiply
    275,942.43x = 380,803.95 × 155,076.66
  4. Step 4: Simplify right side
    275,942.43x = 59,053,804,680.81
  5. Step 5: Solve for x
    x = 59,053,804,680.81/275,942.43
  6. Step 6: Final answer
    x = 214,007.70

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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.