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Finding the Fourth Proportional to 340,825.20, 511,314.60 and 200,511.60

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Solution

The fourth proportional to 340,825.20, 511,314.60 and 200,511.60 is: 300,812.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,825.20 : 511,314.60 = 200,511.60 : x
  2. Step 2: Convert to fraction form
    340,825.20/511,314.60 = 200,511.60/x
  3. Step 3: Cross multiply
    340,825.20x = 511,314.60 × 200,511.60
  4. Step 4: Simplify right side
    340,825.20x = 102,524,508,549.36
  5. Step 5: Solve for x
    x = 102,524,508,549.36/340,825.20
  6. Step 6: Final answer
    x = 300,812.58

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1.5x scale

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.