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Finding the Fourth Proportional to 408,679.82, 563,676.54 and 281,396.42

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Solution

The fourth proportional to 408,679.82, 563,676.54 and 281,396.42 is: 388,119.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,679.82 : 563,676.54 = 281,396.42 : x
  2. Step 2: Convert to fraction form
    408,679.82/563,676.54 = 281,396.42/x
  3. Step 3: Cross multiply
    408,679.82x = 563,676.54 × 281,396.42
  4. Step 4: Simplify right side
    408,679.82x = 158,616,560,393.99
  5. Step 5: Solve for x
    x = 158,616,560,393.99/408,679.82
  6. Step 6: Final answer
    x = 388,119.38

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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.