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Finding the Fourth Proportional to 540,007.20, 809,492.40 and 419,997.60

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Solution

The fourth proportional to 540,007.20, 809,492.40 and 419,997.60 is: 629,593.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,007.20 : 809,492.40 = 419,997.60 : x
  2. Step 2: Convert to fraction form
    540,007.20/809,492.40 = 419,997.60/x
  3. Step 3: Cross multiply
    540,007.20x = 809,492.40 × 419,997.60
  4. Step 4: Simplify right side
    540,007.20x = 339,984,865,218.24
  5. Step 5: Solve for x
    x = 339,984,865,218.24/540,007.20
  6. Step 6: Final answer
    x = 629,593.21

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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.