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Finding the Fourth Proportional to 321,632.16, 443,706.84 and 200,803.38

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Solution

The fourth proportional to 321,632.16, 443,706.84 and 200,803.38 is: 277,017.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,632.16 : 443,706.84 = 200,803.38 : x
  2. Step 2: Convert to fraction form
    321,632.16/443,706.84 = 200,803.38/x
  3. Step 3: Cross multiply
    321,632.16x = 443,706.84 × 200,803.38
  4. Step 4: Simplify right side
    321,632.16x = 89,097,833,201.12
  5. Step 5: Solve for x
    x = 89,097,833,201.12/321,632.16
  6. Step 6: Final answer
    x = 277,017.80

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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.