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Finding the Fourth Proportional to 338,880, 467,665.92 and 219,855.36

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Solution

The fourth proportional to 338,880, 467,665.92 and 219,855.36 is: 303,407.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,880 : 467,665.92 = 219,855.36 : x
  2. Step 2: Convert to fraction form
    338,880/467,665.92 = 219,855.36/x
  3. Step 3: Cross multiply
    338,880x = 467,665.92 × 219,855.36
  4. Step 4: Simplify right side
    338,880x = 102,818,859,201.33
  5. Step 5: Solve for x
    x = 102,818,859,201.33/338,880
  6. Step 6: Final answer
    x = 303,407.87

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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.