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Finding the Fourth Proportional to 298,345.48, 447,519.43 and 120,855.85

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Solution

The fourth proportional to 298,345.48, 447,519.43 and 120,855.85 is: 181,284.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,345.48 : 447,519.43 = 120,855.85 : x
  2. Step 2: Convert to fraction form
    298,345.48/447,519.43 = 120,855.85/x
  3. Step 3: Cross multiply
    298,345.48x = 447,519.43 × 120,855.85
  4. Step 4: Simplify right side
    298,345.48x = 54,085,340,136.44
  5. Step 5: Solve for x
    x = 54,085,340,136.44/298,345.48
  6. Step 6: Final answer
    x = 181,284.26

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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.