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Finding the Fourth Proportional to 307,748.80, 461,997.60 and 195,428.80

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Solution

The fourth proportional to 307,748.80, 461,997.60 and 195,428.80 is: 293,380.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,748.80 : 461,997.60 = 195,428.80 : x
  2. Step 2: Convert to fraction form
    307,748.80/461,997.60 = 195,428.80/x
  3. Step 3: Cross multiply
    307,748.80x = 461,997.60 × 195,428.80
  4. Step 4: Simplify right side
    307,748.80x = 90,287,636,570.88
  5. Step 5: Solve for x
    x = 90,287,636,570.88/307,748.80
  6. Step 6: Final answer
    x = 293,380.95

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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.