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Finding the Fourth Proportional to 318,651.22, 478,048.83 and 105,418.62

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Solution

The fourth proportional to 318,651.22, 478,048.83 and 105,418.62 is: 158,151.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,651.22 : 478,048.83 = 105,418.62 : x
  2. Step 2: Convert to fraction form
    318,651.22/478,048.83 = 105,418.62/x
  3. Step 3: Cross multiply
    318,651.22x = 478,048.83 × 105,418.62
  4. Step 4: Simplify right side
    318,651.22x = 50,395,247,951.21
  5. Step 5: Solve for x
    x = 50,395,247,951.21/318,651.22
  6. Step 6: Final answer
    x = 158,151.75

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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.