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Finding the Fourth Proportional to 361,857.12, 499,364.64 and 200,700.96

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Solution

The fourth proportional to 361,857.12, 499,364.64 and 200,700.96 is: 276,968.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,857.12 : 499,364.64 = 200,700.96 : x
  2. Step 2: Convert to fraction form
    361,857.12/499,364.64 = 200,700.96/x
  3. Step 3: Cross multiply
    361,857.12x = 499,364.64 × 200,700.96
  4. Step 4: Simplify right side
    361,857.12x = 100,222,962,638.05
  5. Step 5: Solve for x
    x = 100,222,962,638.05/361,857.12
  6. Step 6: Final answer
    x = 276,968.33

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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.