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Finding the Fourth Proportional to 304,936.75, 420,812.72 and 185,704.75

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Solution

The fourth proportional to 304,936.75, 420,812.72 and 185,704.75 is: 256,272.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,936.75 : 420,812.72 = 185,704.75 : x
  2. Step 2: Convert to fraction form
    304,936.75/420,812.72 = 185,704.75/x
  3. Step 3: Cross multiply
    304,936.75x = 420,812.72 × 185,704.75
  4. Step 4: Simplify right side
    304,936.75x = 78,146,920,964.42
  5. Step 5: Solve for x
    x = 78,146,920,964.42/304,936.75
  6. Step 6: Final answer
    x = 256,272.56

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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.