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Finding the Fourth Proportional to 357,804, 493,770.48 and 198,828

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Solution

The fourth proportional to 357,804, 493,770.48 and 198,828 is: 274,383.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,804 : 493,770.48 = 198,828 : x
  2. Step 2: Convert to fraction form
    357,804/493,770.48 = 198,828/x
  3. Step 3: Cross multiply
    357,804x = 493,770.48 × 198,828
  4. Step 4: Simplify right side
    357,804x = 98,175,396,997.44
  5. Step 5: Solve for x
    x = 98,175,396,997.44/357,804
  6. Step 6: Final answer
    x = 274,383.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.