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Finding the Fourth Proportional to 405,789.78, 608,740.02 and 169,077

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Solution

The fourth proportional to 405,789.78, 608,740.02 and 169,077 is: 253,638.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,789.78 : 608,740.02 = 169,077 : x
  2. Step 2: Convert to fraction form
    405,789.78/608,740.02 = 169,077/x
  3. Step 3: Cross multiply
    405,789.78x = 608,740.02 × 169,077
  4. Step 4: Simplify right side
    405,789.78x = 102,923,936,361.54
  5. Step 5: Solve for x
    x = 102,923,936,361.54/405,789.78
  6. Step 6: Final answer
    x = 253,638.56

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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.