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Finding the Fourth Proportional to 193,958.40, 290,937.60 and 165,964.80

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Solution

The fourth proportional to 193,958.40, 290,937.60 and 165,964.80 is: 248,947.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,958.40 : 290,937.60 = 165,964.80 : x
  2. Step 2: Convert to fraction form
    193,958.40/290,937.60 = 165,964.80/x
  3. Step 3: Cross multiply
    193,958.40x = 290,937.60 × 165,964.80
  4. Step 4: Simplify right side
    193,958.40x = 48,285,400,596.48
  5. Step 5: Solve for x
    x = 48,285,400,596.48/193,958.40
  6. Step 6: Final answer
    x = 248,947.20

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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.