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Finding the Fourth Proportional to 432,853.20, 648,842.40 and 196,365.60

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Solution

The fourth proportional to 432,853.20, 648,842.40 and 196,365.60 is: 294,349.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,853.20 : 648,842.40 = 196,365.60 : x
  2. Step 2: Convert to fraction form
    432,853.20/648,842.40 = 196,365.60/x
  3. Step 3: Cross multiply
    432,853.20x = 648,842.40 × 196,365.60
  4. Step 4: Simplify right side
    432,853.20x = 127,410,327,181.44
  5. Step 5: Solve for x
    x = 127,410,327,181.44/432,853.20
  6. Step 6: Final answer
    x = 294,349.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.