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Finding the Fourth Proportional to 361,379.76, 498,728.28 and 200,241.84

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Solution

The fourth proportional to 361,379.76, 498,728.28 and 200,241.84 is: 276,347.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,379.76 : 498,728.28 = 200,241.84 : x
  2. Step 2: Convert to fraction form
    361,379.76/498,728.28 = 200,241.84/x
  3. Step 3: Cross multiply
    361,379.76x = 498,728.28 × 200,241.84
  4. Step 4: Simplify right side
    361,379.76x = 99,866,268,447.24
  5. Step 5: Solve for x
    x = 99,866,268,447.24/361,379.76
  6. Step 6: Final answer
    x = 276,347.15

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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.