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Finding the Fourth Proportional to 259,920.80, 389,578.80 and 119,693.60

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Solution

The fourth proportional to 259,920.80, 389,578.80 and 119,693.60 is: 179,401.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,920.80 : 389,578.80 = 119,693.60 : x
  2. Step 2: Convert to fraction form
    259,920.80/389,578.80 = 119,693.60/x
  3. Step 3: Cross multiply
    259,920.80x = 389,578.80 × 119,693.60
  4. Step 4: Simplify right side
    259,920.80x = 46,630,089,055.68
  5. Step 5: Solve for x
    x = 46,630,089,055.68/259,920.80
  6. Step 6: Final answer
    x = 179,401.14

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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.