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Finding the Fourth Proportional to 399,635, 599,438.68 and 100,118.20

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Solution

The fourth proportional to 399,635, 599,438.68 and 100,118.20 is: 150,173.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,635 : 599,438.68 = 100,118.20 : x
  2. Step 2: Convert to fraction form
    399,635/599,438.68 = 100,118.20/x
  3. Step 3: Cross multiply
    399,635x = 599,438.68 × 100,118.20
  4. Step 4: Simplify right side
    399,635x = 60,014,721,651.98
  5. Step 5: Solve for x
    x = 60,014,721,651.98/399,635
  6. Step 6: Final answer
    x = 150,173.84

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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.