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Finding the Fourth Proportional to 307,968, 462,136.32 and 132,864

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Solution

The fourth proportional to 307,968, 462,136.32 and 132,864 is: 199,375.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,968 : 462,136.32 = 132,864 : x
  2. Step 2: Convert to fraction form
    307,968/462,136.32 = 132,864/x
  3. Step 3: Cross multiply
    307,968x = 462,136.32 × 132,864
  4. Step 4: Simplify right side
    307,968x = 61,401,280,020.48
  5. Step 5: Solve for x
    x = 61,401,280,020.48/307,968
  6. Step 6: Final answer
    x = 199,375.52

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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.