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Finding the Fourth Proportional to 342,099.71, 472,172.52 and 198,942.33

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Solution

The fourth proportional to 342,099.71, 472,172.52 and 198,942.33 is: 274,583.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,099.71 : 472,172.52 = 198,942.33 : x
  2. Step 2: Convert to fraction form
    342,099.71/472,172.52 = 198,942.33/x
  3. Step 3: Cross multiply
    342,099.71x = 472,172.52 × 198,942.33
  4. Step 4: Simplify right side
    342,099.71x = 93,935,101,290.77
  5. Step 5: Solve for x
    x = 93,935,101,290.77/342,099.71
  6. Step 6: Final answer
    x = 274,583.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.