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Finding the Fourth Proportional to 298,659.96, 411,880.14 and 197,883

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Solution

The fourth proportional to 298,659.96, 411,880.14 and 197,883 is: 272,899.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,659.96 : 411,880.14 = 197,883 : x
  2. Step 2: Convert to fraction form
    298,659.96/411,880.14 = 197,883/x
  3. Step 3: Cross multiply
    298,659.96x = 411,880.14 × 197,883
  4. Step 4: Simplify right side
    298,659.96x = 81,504,077,743.62
  5. Step 5: Solve for x
    x = 81,504,077,743.62/298,659.96
  6. Step 6: Final answer
    x = 272,899.25

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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.