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Finding the Fourth Proportional to 418,711.69, 628,052.91 and 119,193.94

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Solution

The fourth proportional to 418,711.69, 628,052.91 and 119,193.94 is: 178,786.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,711.69 : 628,052.91 = 119,193.94 : x
  2. Step 2: Convert to fraction form
    418,711.69/628,052.91 = 119,193.94/x
  3. Step 3: Cross multiply
    418,711.69x = 628,052.91 × 119,193.94
  4. Step 4: Simplify right side
    418,711.69x = 74,860,100,871.37
  5. Step 5: Solve for x
    x = 74,860,100,871.37/418,711.69
  6. Step 6: Final answer
    x = 178,786.75

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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.