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Finding the Fourth Proportional to 313,796, 470,694 and 92,180

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Solution

The fourth proportional to 313,796, 470,694 and 92,180 is: 138,270

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,796 : 470,694 = 92,180 : x
  2. Step 2: Convert to fraction form
    313,796/470,694 = 92,180/x
  3. Step 3: Cross multiply
    313,796x = 470,694 × 92,180
  4. Step 4: Simplify right side
    313,796x = 43,388,572,920
  5. Step 5: Solve for x
    x = 43,388,572,920/313,796
  6. Step 6: Final answer
    x = 138,270

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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.