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Finding the Fourth Proportional to 300,264, 414,377.28 and 166,128

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Solution

The fourth proportional to 300,264, 414,377.28 and 166,128 is: 229,263.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,264 : 414,377.28 = 166,128 : x
  2. Step 2: Convert to fraction form
    300,264/414,377.28 = 166,128/x
  3. Step 3: Cross multiply
    300,264x = 414,377.28 × 166,128
  4. Step 4: Simplify right side
    300,264x = 68,839,668,771.84
  5. Step 5: Solve for x
    x = 68,839,668,771.84/300,264
  6. Step 6: Final answer
    x = 229,263.81

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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.