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Finding the Fourth Proportional to 399,619.52, 599,415.46 and 100,102.68

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Solution

The fourth proportional to 399,619.52, 599,415.46 and 100,102.68 is: 150,150.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,619.52 : 599,415.46 = 100,102.68 : x
  2. Step 2: Convert to fraction form
    399,619.52/599,415.46 = 100,102.68/x
  3. Step 3: Cross multiply
    399,619.52x = 599,415.46 × 100,102.68
  4. Step 4: Simplify right side
    399,619.52x = 60,003,093,729.18
  5. Step 5: Solve for x
    x = 60,003,093,729.18/399,619.52
  6. Step 6: Final answer
    x = 150,150.56

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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.