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Finding the Fourth Proportional to 419,315.24, 628,994.46 and 119,772.20

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Solution

The fourth proportional to 419,315.24, 628,994.46 and 119,772.20 is: 179,664.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,315.24 : 628,994.46 = 119,772.20 : x
  2. Step 2: Convert to fraction form
    419,315.24/628,994.46 = 119,772.20/x
  3. Step 3: Cross multiply
    419,315.24x = 628,994.46 × 119,772.20
  4. Step 4: Simplify right side
    419,315.24x = 75,336,050,262.01
  5. Step 5: Solve for x
    x = 75,336,050,262.01/419,315.24
  6. Step 6: Final answer
    x = 179,664.47

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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.