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Finding the Fourth Proportional to 199,412.40, 298,778.40 and 94,015.20

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Solution

The fourth proportional to 199,412.40, 298,778.40 and 94,015.20 is: 140,862.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,412.40 : 298,778.40 = 94,015.20 : x
  2. Step 2: Convert to fraction form
    199,412.40/298,778.40 = 94,015.20/x
  3. Step 3: Cross multiply
    199,412.40x = 298,778.40 × 94,015.20
  4. Step 4: Simplify right side
    199,412.40x = 28,089,711,031.68
  5. Step 5: Solve for x
    x = 28,089,711,031.68/199,412.40
  6. Step 6: Final answer
    x = 140,862.41

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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.