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Finding the Fourth Proportional to 313,081.68, 469,418.32 and 206,142.08

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Solution

The fourth proportional to 313,081.68, 469,418.32 and 206,142.08 is: 309,078.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,081.68 : 469,418.32 = 206,142.08 : x
  2. Step 2: Convert to fraction form
    313,081.68/469,418.32 = 206,142.08/x
  3. Step 3: Cross multiply
    313,081.68x = 469,418.32 × 206,142.08
  4. Step 4: Simplify right side
    313,081.68x = 96,766,868,874.91
  5. Step 5: Solve for x
    x = 96,766,868,874.91/313,081.68
  6. Step 6: Final answer
    x = 309,078.67

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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.