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Finding the Fourth Proportional to 419,415.90, 628,680.78 and 301,023.06

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Solution

The fourth proportional to 419,415.90, 628,680.78 and 301,023.06 is: 451,216.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,415.90 : 628,680.78 = 301,023.06 : x
  2. Step 2: Convert to fraction form
    419,415.90/628,680.78 = 301,023.06/x
  3. Step 3: Cross multiply
    419,415.90x = 628,680.78 × 301,023.06
  4. Step 4: Simplify right side
    419,415.90x = 189,247,412,158.79
  5. Step 5: Solve for x
    x = 189,247,412,158.79/419,415.90
  6. Step 6: Final answer
    x = 451,216.59

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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.