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Finding the Fourth Proportional to 298,107.58, 411,376.64 and 162,141.33

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Solution

The fourth proportional to 298,107.58, 411,376.64 and 162,141.33 is: 223,748.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,107.58 : 411,376.64 = 162,141.33 : x
  2. Step 2: Convert to fraction form
    298,107.58/411,376.64 = 162,141.33/x
  3. Step 3: Cross multiply
    298,107.58x = 411,376.64 × 162,141.33
  4. Step 4: Simplify right side
    298,107.58x = 66,701,155,922.00
  5. Step 5: Solve for x
    x = 66,701,155,922.00/298,107.58
  6. Step 6: Final answer
    x = 223,748.61

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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.