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Finding the Fourth Proportional to 399,619.96, 599,416.11 and 100,103.12

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Solution

The fourth proportional to 399,619.96, 599,416.11 and 100,103.12 is: 150,151.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,619.96 : 599,416.11 = 100,103.12 : x
  2. Step 2: Convert to fraction form
    399,619.96/599,416.11 = 100,103.12/x
  3. Step 3: Cross multiply
    399,619.96x = 599,416.11 × 100,103.12
  4. Step 4: Simplify right side
    399,619.96x = 60,003,422,789.26
  5. Step 5: Solve for x
    x = 60,003,422,789.26/399,619.96
  6. Step 6: Final answer
    x = 150,151.22

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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.