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Finding the Fourth Proportional to 300,405.51, 414,559.26 and 164,438.19

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Solution

The fourth proportional to 300,405.51, 414,559.26 and 164,438.19 is: 226,924.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,405.51 : 414,559.26 = 164,438.19 : x
  2. Step 2: Convert to fraction form
    300,405.51/414,559.26 = 164,438.19/x
  3. Step 3: Cross multiply
    300,405.51x = 414,559.26 × 164,438.19
  4. Step 4: Simplify right side
    300,405.51x = 68,169,374,362.14
  5. Step 5: Solve for x
    x = 68,169,374,362.14/300,405.51
  6. Step 6: Final answer
    x = 226,924.51

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1.5x scale

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.