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Finding the Fourth Proportional to 432,097.40, 648,243.30 and 132,591.80

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Solution

The fourth proportional to 432,097.40, 648,243.30 and 132,591.80 is: 198,917.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,097.40 : 648,243.30 = 132,591.80 : x
  2. Step 2: Convert to fraction form
    432,097.40/648,243.30 = 132,591.80/x
  3. Step 3: Cross multiply
    432,097.40x = 648,243.30 × 132,591.80
  4. Step 4: Simplify right side
    432,097.40x = 85,951,745,984.94
  5. Step 5: Solve for x
    x = 85,951,745,984.94/432,097.40
  6. Step 6: Final answer
    x = 198,917.53

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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.