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Finding the Fourth Proportional to 540,063.20, 809,997.60 and 340,025.60

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Solution

The fourth proportional to 540,063.20, 809,997.60 and 340,025.60 is: 509,977.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,063.20 : 809,997.60 = 340,025.60 : x
  2. Step 2: Convert to fraction form
    540,063.20/809,997.60 = 340,025.60/x
  3. Step 3: Cross multiply
    540,063.20x = 809,997.60 × 340,025.60
  4. Step 4: Simplify right side
    540,063.20x = 275,419,919,938.56
  5. Step 5: Solve for x
    x = 275,419,919,938.56/540,063.20
  6. Step 6: Final answer
    x = 509,977.20

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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.