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Finding the Fourth Proportional to 340,902.65, 511,504.61 and 178,757.97

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Solution

The fourth proportional to 340,902.65, 511,504.61 and 178,757.97 is: 268,215.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,902.65 : 511,504.61 = 178,757.97 : x
  2. Step 2: Convert to fraction form
    340,902.65/511,504.61 = 178,757.97/x
  3. Step 3: Cross multiply
    340,902.65x = 511,504.61 × 178,757.97
  4. Step 4: Simplify right side
    340,902.65x = 91,435,524,835.45
  5. Step 5: Solve for x
    x = 91,435,524,835.45/340,902.65
  6. Step 6: Final answer
    x = 268,215.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.