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Finding the Fourth Proportional to 361,422.75, 498,766.32 and 200,280.49

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Solution

The fourth proportional to 361,422.75, 498,766.32 and 200,280.49 is: 276,388.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,422.75 : 498,766.32 = 200,280.49 : x
  2. Step 2: Convert to fraction form
    361,422.75/498,766.32 = 200,280.49/x
  3. Step 3: Cross multiply
    361,422.75x = 498,766.32 × 200,280.49
  4. Step 4: Simplify right side
    361,422.75x = 99,893,161,718.18
  5. Step 5: Solve for x
    x = 99,893,161,718.18/361,422.75
  6. Step 6: Final answer
    x = 276,388.70

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1.5x scale

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.