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Finding the Fourth Proportional to 275,870.49, 380,689.13 and 161,159.75

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Solution

The fourth proportional to 275,870.49, 380,689.13 and 161,159.75 is: 222,393.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,870.49 : 380,689.13 = 161,159.75 : x
  2. Step 2: Convert to fraction form
    275,870.49/380,689.13 = 161,159.75/x
  3. Step 3: Cross multiply
    275,870.49x = 380,689.13 × 161,159.75
  4. Step 4: Simplify right side
    275,870.49x = 61,351,766,373.14
  5. Step 5: Solve for x
    x = 61,351,766,373.14/275,870.49
  6. Step 6: Final answer
    x = 222,393.36

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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.