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Finding the Fourth Proportional to 419,118.03, 628,770.76 and 152,878.54

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Solution

The fourth proportional to 419,118.03, 628,770.76 and 152,878.54 is: 229,351.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,118.03 : 628,770.76 = 152,878.54 : x
  2. Step 2: Convert to fraction form
    419,118.03/628,770.76 = 152,878.54/x
  3. Step 3: Cross multiply
    419,118.03x = 628,770.76 × 152,878.54
  4. Step 4: Simplify right side
    419,118.03x = 96,125,555,783.49
  5. Step 5: Solve for x
    x = 96,125,555,783.49/419,118.03
  6. Step 6: Final answer
    x = 229,351.99

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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.