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Finding the Fourth Proportional to 399,400.21, 599,105.62 and 133,160.81

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Solution

The fourth proportional to 399,400.21, 599,105.62 and 133,160.81 is: 199,742.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,400.21 : 599,105.62 = 133,160.81 : x
  2. Step 2: Convert to fraction form
    399,400.21/599,105.62 = 133,160.81/x
  3. Step 3: Cross multiply
    399,400.21x = 599,105.62 × 133,160.81
  4. Step 4: Simplify right side
    399,400.21x = 79,777,388,968.95
  5. Step 5: Solve for x
    x = 79,777,388,968.95/399,400.21
  6. Step 6: Final answer
    x = 199,742.98

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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.