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Finding the Fourth Proportional to 540,014.20, 809,049.30 and 428,428.60

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Solution

The fourth proportional to 540,014.20, 809,049.30 and 428,428.60 is: 641,871.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,014.20 : 809,049.30 = 428,428.60 : x
  2. Step 2: Convert to fraction form
    540,014.20/809,049.30 = 428,428.60/x
  3. Step 3: Cross multiply
    540,014.20x = 809,049.30 × 428,428.60
  4. Step 4: Simplify right side
    540,014.20x = 346,619,858,929.98
  5. Step 5: Solve for x
    x = 346,619,858,929.98/540,014.20
  6. Step 6: Final answer
    x = 641,871.75

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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.