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Finding the Fourth Proportional to 418,933.96, 628,499.35 and 119,418.84

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Solution

The fourth proportional to 418,933.96, 628,499.35 and 119,418.84 is: 179,156.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,933.96 : 628,499.35 = 119,418.84 : x
  2. Step 2: Convert to fraction form
    418,933.96/628,499.35 = 119,418.84/x
  3. Step 3: Cross multiply
    418,933.96x = 628,499.35 × 119,418.84
  4. Step 4: Simplify right side
    418,933.96x = 75,054,663,467.03
  5. Step 5: Solve for x
    x = 75,054,663,467.03/418,933.96
  6. Step 6: Final answer
    x = 179,156.31

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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.