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Finding the Fourth Proportional to 361,422.95, 498,766.59 and 200,280.67

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Solution

The fourth proportional to 361,422.95, 498,766.59 and 200,280.67 is: 276,388.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,422.95 : 498,766.59 = 200,280.67 : x
  2. Step 2: Convert to fraction form
    361,422.95/498,766.59 = 200,280.67/x
  3. Step 3: Cross multiply
    361,422.95x = 498,766.59 × 200,280.67
  4. Step 4: Simplify right side
    361,422.95x = 99,893,305,571.90
  5. Step 5: Solve for x
    x = 99,893,305,571.90/361,422.95
  6. Step 6: Final answer
    x = 276,388.94

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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.