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Finding the Fourth Proportional to 419,624.20, 628,707.28 and 378,508.60

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Solution

The fourth proportional to 419,624.20, 628,707.28 and 378,508.60 is: 567,105.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,624.20 : 628,707.28 = 378,508.60 : x
  2. Step 2: Convert to fraction form
    419,624.20/628,707.28 = 378,508.60/x
  3. Step 3: Cross multiply
    419,624.20x = 628,707.28 × 378,508.60
  4. Step 4: Simplify right side
    419,624.20x = 237,971,112,362.61
  5. Step 5: Solve for x
    x = 237,971,112,362.61/419,624.20
  6. Step 6: Final answer
    x = 567,105.31

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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.