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Finding the Fourth Proportional to 343,911.60, 515,867.40 and 259,930.80

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Solution

The fourth proportional to 343,911.60, 515,867.40 and 259,930.80 is: 389,896.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,911.60 : 515,867.40 = 259,930.80 : x
  2. Step 2: Convert to fraction form
    343,911.60/515,867.40 = 259,930.80/x
  3. Step 3: Cross multiply
    343,911.60x = 515,867.40 × 259,930.80
  4. Step 4: Simplify right side
    343,911.60x = 134,089,825,975.92
  5. Step 5: Solve for x
    x = 134,089,825,975.92/343,911.60
  6. Step 6: Final answer
    x = 389,896.20

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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.