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Finding the Fourth Proportional to 199,910, 298,719.10 and 152,260.40

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Solution

The fourth proportional to 199,910, 298,719.10 and 152,260.40 is: 227,517.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,910 : 298,719.10 = 152,260.40 : x
  2. Step 2: Convert to fraction form
    199,910/298,719.10 = 152,260.40/x
  3. Step 3: Cross multiply
    199,910x = 298,719.10 × 152,260.40
  4. Step 4: Simplify right side
    199,910x = 45,483,089,653.64
  5. Step 5: Solve for x
    x = 45,483,089,653.64/199,910
  6. Step 6: Final answer
    x = 227,517.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.