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Finding the Fourth Proportional to 275,966.68, 380,833.14 and 161,236.66

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Solution

The fourth proportional to 275,966.68, 380,833.14 and 161,236.66 is: 222,506.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,966.68 : 380,833.14 = 161,236.66 : x
  2. Step 2: Convert to fraction form
    275,966.68/380,833.14 = 161,236.66/x
  3. Step 3: Cross multiply
    275,966.68x = 380,833.14 × 161,236.66
  4. Step 4: Simplify right side
    275,966.68x = 61,404,263,510.91
  5. Step 5: Solve for x
    x = 61,404,263,510.91/275,966.68
  6. Step 6: Final answer
    x = 222,506.08

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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.