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Finding the Fourth Proportional to 436,219.20, 654,328.80 and 394,228.80

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Solution

The fourth proportional to 436,219.20, 654,328.80 and 394,228.80 is: 591,343.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,219.20 : 654,328.80 = 394,228.80 : x
  2. Step 2: Convert to fraction form
    436,219.20/654,328.80 = 394,228.80/x
  3. Step 3: Cross multiply
    436,219.20x = 654,328.80 × 394,228.80
  4. Step 4: Simplify right side
    436,219.20x = 257,955,257,629.44
  5. Step 5: Solve for x
    x = 257,955,257,629.44/436,219.20
  6. Step 6: Final answer
    x = 591,343.20

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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.