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Finding the Fourth Proportional to 978,104.42, 1,467,367.77 and 304,172.54

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Solution

The fourth proportional to 978,104.42, 1,467,367.77 and 304,172.54 is: 456,324.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,104.42 : 1,467,367.77 = 304,172.54 : x
  2. Step 2: Convert to fraction form
    978,104.42/1,467,367.77 = 304,172.54/x
  3. Step 3: Cross multiply
    978,104.42x = 1,467,367.77 × 304,172.54
  4. Step 4: Simplify right side
    978,104.42x = 446,332,981,715.04
  5. Step 5: Solve for x
    x = 446,332,981,715.04/978,104.42
  6. Step 6: Final answer
    x = 456,324.47

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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.