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Finding the Fourth Proportional to 300,155.25, 414,208.80 and 164,188.00

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Solution

The fourth proportional to 300,155.25, 414,208.80 and 164,188.00 is: 226,576.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,155.25 : 414,208.80 = 164,188.00 : x
  2. Step 2: Convert to fraction form
    300,155.25/414,208.80 = 164,188.00/x
  3. Step 3: Cross multiply
    300,155.25x = 414,208.80 × 164,188.00
  4. Step 4: Simplify right side
    300,155.25x = 68,008,116,021.68
  5. Step 5: Solve for x
    x = 68,008,116,021.68/300,155.25
  6. Step 6: Final answer
    x = 226,576.47

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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.