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Finding the Fourth Proportional to 405,731.78, 608,653.05 and 169,019.09

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Solution

The fourth proportional to 405,731.78, 608,653.05 and 169,019.09 is: 253,551.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,731.78 : 608,653.05 = 169,019.09 : x
  2. Step 2: Convert to fraction form
    405,731.78/608,653.05 = 169,019.09/x
  3. Step 3: Cross multiply
    405,731.78x = 608,653.05 × 169,019.09
  4. Step 4: Simplify right side
    405,731.78x = 102,873,984,636.73
  5. Step 5: Solve for x
    x = 102,873,984,636.73/405,731.78
  6. Step 6: Final answer
    x = 253,551.71

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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.