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Finding the Fourth Proportional to 321,636.16, 443,712.36 and 200,807.38

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Solution

The fourth proportional to 321,636.16, 443,712.36 and 200,807.38 is: 277,023.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,636.16 : 443,712.36 = 200,807.38 : x
  2. Step 2: Convert to fraction form
    321,636.16/443,712.36 = 200,807.38/x
  3. Step 3: Cross multiply
    321,636.16x = 443,712.36 × 200,807.38
  4. Step 4: Simplify right side
    321,636.16x = 89,100,716,485.22
  5. Step 5: Solve for x
    x = 89,100,716,485.22/321,636.16
  6. Step 6: Final answer
    x = 277,023.32

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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.