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Finding the Fourth Proportional to 313,816, 470,724 and 92,200

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Solution

The fourth proportional to 313,816, 470,724 and 92,200 is: 138,300

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,816 : 470,724 = 92,200 : x
  2. Step 2: Convert to fraction form
    313,816/470,724 = 92,200/x
  3. Step 3: Cross multiply
    313,816x = 470,724 × 92,200
  4. Step 4: Simplify right side
    313,816x = 43,400,752,800
  5. Step 5: Solve for x
    x = 43,400,752,800/313,816
  6. Step 6: Final answer
    x = 138,300

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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.