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Finding the Fourth Proportional to 281,804.99, 388,917.79 and 160,964.33

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Solution

The fourth proportional to 281,804.99, 388,917.79 and 160,964.33 is: 222,146.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,804.99 : 388,917.79 = 160,964.33 : x
  2. Step 2: Convert to fraction form
    281,804.99/388,917.79 = 160,964.33/x
  3. Step 3: Cross multiply
    281,804.99x = 388,917.79 × 160,964.33
  4. Step 4: Simplify right side
    281,804.99x = 62,601,889,145.43
  5. Step 5: Solve for x
    x = 62,601,889,145.43/281,804.99
  6. Step 6: Final answer
    x = 222,146.14

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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.