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Finding the Fourth Proportional to 313,794, 470,691 and 92,178

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Solution

The fourth proportional to 313,794, 470,691 and 92,178 is: 138,267

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,794 : 470,691 = 92,178 : x
  2. Step 2: Convert to fraction form
    313,794/470,691 = 92,178/x
  3. Step 3: Cross multiply
    313,794x = 470,691 × 92,178
  4. Step 4: Simplify right side
    313,794x = 43,387,354,998
  5. Step 5: Solve for x
    x = 43,387,354,998/313,794
  6. Step 6: Final answer
    x = 138,267

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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.