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Finding the Fourth Proportional to 820,120.80, 1,230,181.20 and 229,144.80

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Solution

The fourth proportional to 820,120.80, 1,230,181.20 and 229,144.80 is: 343,717.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,120.80 : 1,230,181.20 = 229,144.80 : x
  2. Step 2: Convert to fraction form
    820,120.80/1,230,181.20 = 229,144.80/x
  3. Step 3: Cross multiply
    820,120.80x = 1,230,181.20 × 229,144.80
  4. Step 4: Simplify right side
    820,120.80x = 281,889,625,037.76
  5. Step 5: Solve for x
    x = 281,889,625,037.76/820,120.80
  6. Step 6: Final answer
    x = 343,717.20

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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.