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Finding the Fourth Proportional to 418,745.34, 628,121.82 and 119,225.70

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Solution

The fourth proportional to 418,745.34, 628,121.82 and 119,225.70 is: 178,839.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,745.34 : 628,121.82 = 119,225.70 : x
  2. Step 2: Convert to fraction form
    418,745.34/628,121.82 = 119,225.70/x
  3. Step 3: Cross multiply
    418,745.34x = 628,121.82 × 119,225.70
  4. Step 4: Simplify right side
    418,745.34x = 74,888,263,674.77
  5. Step 5: Solve for x
    x = 74,888,263,674.77/418,745.34
  6. Step 6: Final answer
    x = 178,839.63

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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.