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Finding the Fourth Proportional to 361,422.37, 498,765.80 and 200,280.11

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Solution

The fourth proportional to 361,422.37, 498,765.80 and 200,280.11 is: 276,388.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,422.37 : 498,765.80 = 200,280.11 : x
  2. Step 2: Convert to fraction form
    361,422.37/498,765.80 = 200,280.11/x
  3. Step 3: Cross multiply
    361,422.37x = 498,765.80 × 200,280.11
  4. Step 4: Simplify right side
    361,422.37x = 99,892,870,100.67
  5. Step 5: Solve for x
    x = 99,892,870,100.67/361,422.37
  6. Step 6: Final answer
    x = 276,388.18

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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.