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Finding the Fourth Proportional to 431,996.80, 648,189.60 and 195,217.60

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Solution

The fourth proportional to 431,996.80, 648,189.60 and 195,217.60 is: 292,914.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,996.80 : 648,189.60 = 195,217.60 : x
  2. Step 2: Convert to fraction form
    431,996.80/648,189.60 = 195,217.60/x
  3. Step 3: Cross multiply
    431,996.80x = 648,189.60 × 195,217.60
  4. Step 4: Simplify right side
    431,996.80x = 126,538,018,056.96
  5. Step 5: Solve for x
    x = 126,538,018,056.96/431,996.80
  6. Step 6: Final answer
    x = 292,914.25

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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.