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Finding the Fourth Proportional to 317,958.78, 438,657.39 and 204,847.50

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Solution

The fourth proportional to 317,958.78, 438,657.39 and 204,847.50 is: 282,608.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,958.78 : 438,657.39 = 204,847.50 : x
  2. Step 2: Convert to fraction form
    317,958.78/438,657.39 = 204,847.50/x
  3. Step 3: Cross multiply
    317,958.78x = 438,657.39 × 204,847.50
  4. Step 4: Simplify right side
    317,958.78x = 89,857,869,698.03
  5. Step 5: Solve for x
    x = 89,857,869,698.03/317,958.78
  6. Step 6: Final answer
    x = 282,608.55

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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.