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Finding the Fourth Proportional to 300,321.93, 414,438.71 and 164,353.13

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Solution

The fourth proportional to 300,321.93, 414,438.71 and 164,353.13 is: 226,804.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,321.93 : 414,438.71 = 164,353.13 : x
  2. Step 2: Convert to fraction form
    300,321.93/414,438.71 = 164,353.13/x
  3. Step 3: Cross multiply
    300,321.93x = 414,438.71 × 164,353.13
  4. Step 4: Simplify right side
    300,321.93x = 68,114,299,181.66
  5. Step 5: Solve for x
    x = 68,114,299,181.66/300,321.93
  6. Step 6: Final answer
    x = 226,804.28

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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.