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Finding the Fourth Proportional to 298,132.76, 411,559.44 and 200,180

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Solution

The fourth proportional to 298,132.76, 411,559.44 and 200,180 is: 276,339.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,132.76 : 411,559.44 = 200,180 : x
  2. Step 2: Convert to fraction form
    298,132.76/411,559.44 = 200,180/x
  3. Step 3: Cross multiply
    298,132.76x = 411,559.44 × 200,180
  4. Step 4: Simplify right side
    298,132.76x = 82,385,968,699.20
  5. Step 5: Solve for x
    x = 82,385,968,699.20/298,132.76
  6. Step 6: Final answer
    x = 276,339.87

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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.