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Finding the Fourth Proportional to 348,678, 523,206 and 269,946

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Solution

The fourth proportional to 348,678, 523,206 and 269,946 is: 405,065.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,678 : 523,206 = 269,946 : x
  2. Step 2: Convert to fraction form
    348,678/523,206 = 269,946/x
  3. Step 3: Cross multiply
    348,678x = 523,206 × 269,946
  4. Step 4: Simplify right side
    348,678x = 141,237,366,876
  5. Step 5: Solve for x
    x = 141,237,366,876/348,678
  6. Step 6: Final answer
    x = 405,065.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.