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Finding the Fourth Proportional to 313,840, 470,760 and 92,224

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Solution

The fourth proportional to 313,840, 470,760 and 92,224 is: 138,336

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,840 : 470,760 = 92,224 : x
  2. Step 2: Convert to fraction form
    313,840/470,760 = 92,224/x
  3. Step 3: Cross multiply
    313,840x = 470,760 × 92,224
  4. Step 4: Simplify right side
    313,840x = 43,415,370,240
  5. Step 5: Solve for x
    x = 43,415,370,240/313,840
  6. Step 6: Final answer
    x = 138,336

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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.