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Finding the Fourth Proportional to 540,041.20, 809,543.40 and 420,031.60

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Solution

The fourth proportional to 540,041.20, 809,543.40 and 420,031.60 is: 629,644.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,041.20 : 809,543.40 = 420,031.60 : x
  2. Step 2: Convert to fraction form
    540,041.20/809,543.40 = 420,031.60/x
  3. Step 3: Cross multiply
    540,041.20x = 809,543.40 × 420,031.60
  4. Step 4: Simplify right side
    540,041.20x = 340,033,809,571.44
  5. Step 5: Solve for x
    x = 340,033,809,571.44/540,041.20
  6. Step 6: Final answer
    x = 629,644.20

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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.