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Finding the Fourth Proportional to 297,678, 410,795.80 and 163,550.64

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Solution

The fourth proportional to 297,678, 410,795.80 and 163,550.64 is: 225,699.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,678 : 410,795.80 = 163,550.64 : x
  2. Step 2: Convert to fraction form
    297,678/410,795.80 = 163,550.64/x
  3. Step 3: Cross multiply
    297,678x = 410,795.80 × 163,550.64
  4. Step 4: Simplify right side
    297,678x = 67,185,915,999.31
  5. Step 5: Solve for x
    x = 67,185,915,999.31/297,678
  6. Step 6: Final answer
    x = 225,699.97

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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.