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Finding the Fourth Proportional to 281,000.78, 421,798.24 and 274,654.84

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Solution

The fourth proportional to 281,000.78, 421,798.24 and 274,654.84 is: 412,272.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,000.78 : 421,798.24 = 274,654.84 : x
  2. Step 2: Convert to fraction form
    281,000.78/421,798.24 = 274,654.84/x
  3. Step 3: Cross multiply
    281,000.78x = 421,798.24 × 274,654.84
  4. Step 4: Simplify right side
    281,000.78x = 115,848,926,010.49
  5. Step 5: Solve for x
    x = 115,848,926,010.49/281,000.78
  6. Step 6: Final answer
    x = 412,272.61

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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.