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Finding the Fourth Proportional to 357,323.56, 493,120.38 and 196,185.40

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Solution

The fourth proportional to 357,323.56, 493,120.38 and 196,185.40 is: 270,743.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,323.56 : 493,120.38 = 196,185.40 : x
  2. Step 2: Convert to fraction form
    357,323.56/493,120.38 = 196,185.40/x
  3. Step 3: Cross multiply
    357,323.56x = 493,120.38 × 196,185.40
  4. Step 4: Simplify right side
    357,323.56x = 96,743,018,998.45
  5. Step 5: Solve for x
    x = 96,743,018,998.45/357,323.56
  6. Step 6: Final answer
    x = 270,743.47

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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.