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Finding the Fourth Proportional to 300,321.86, 414,438.63 and 164,353.07

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Solution

The fourth proportional to 300,321.86, 414,438.63 and 164,353.07 is: 226,804.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,321.86 : 414,438.63 = 164,353.07 : x
  2. Step 2: Convert to fraction form
    300,321.86/414,438.63 = 164,353.07/x
  3. Step 3: Cross multiply
    300,321.86x = 414,438.63 × 164,353.07
  4. Step 4: Simplify right side
    300,321.86x = 68,114,259,255.65
  5. Step 5: Solve for x
    x = 68,114,259,255.65/300,321.86
  6. Step 6: Final answer
    x = 226,804.20

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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.