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Finding the Fourth Proportional to 300,936, 415,292.40 and 166,800

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Solution

The fourth proportional to 300,936, 415,292.40 and 166,800 is: 230,184.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,936 : 415,292.40 = 166,800 : x
  2. Step 2: Convert to fraction form
    300,936/415,292.40 = 166,800/x
  3. Step 3: Cross multiply
    300,936x = 415,292.40 × 166,800
  4. Step 4: Simplify right side
    300,936x = 69,270,772,320
  5. Step 5: Solve for x
    x = 69,270,772,320/300,936
  6. Step 6: Final answer
    x = 230,184.40

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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.