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Finding the Fourth Proportional to 383,819.20, 575,728.80 and 337,163.20

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Solution

The fourth proportional to 383,819.20, 575,728.80 and 337,163.20 is: 505,744.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,819.20 : 575,728.80 = 337,163.20 : x
  2. Step 2: Convert to fraction form
    383,819.20/575,728.80 = 337,163.20/x
  3. Step 3: Cross multiply
    383,819.20x = 575,728.80 × 337,163.20
  4. Step 4: Simplify right side
    383,819.20x = 194,114,564,540.16
  5. Step 5: Solve for x
    x = 194,114,564,540.16/383,819.20
  6. Step 6: Final answer
    x = 505,744.80

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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.