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Finding the Fourth Proportional to 226,009.71, 311,936.40 and 149,530.32

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Solution

The fourth proportional to 226,009.71, 311,936.40 and 149,530.32 is: 206,380.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,009.71 : 311,936.40 = 149,530.32 : x
  2. Step 2: Convert to fraction form
    226,009.71/311,936.40 = 149,530.32/x
  3. Step 3: Cross multiply
    226,009.71x = 311,936.40 × 149,530.32
  4. Step 4: Simplify right side
    226,009.71x = 46,643,949,711.65
  5. Step 5: Solve for x
    x = 46,643,949,711.65/226,009.71
  6. Step 6: Final answer
    x = 206,380.29

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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.