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Finding the Fourth Proportional to 799,257, 1,198,857.90 and 200,223.40

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Solution

The fourth proportional to 799,257, 1,198,857.90 and 200,223.40 is: 300,328.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    799,257 : 1,198,857.90 = 200,223.40 : x
  2. Step 2: Convert to fraction form
    799,257/1,198,857.90 = 200,223.40/x
  3. Step 3: Cross multiply
    799,257x = 1,198,857.90 × 200,223.40
  4. Step 4: Simplify right side
    799,257x = 240,039,404,854.86
  5. Step 5: Solve for x
    x = 240,039,404,854.86/799,257
  6. Step 6: Final answer
    x = 300,328.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.