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Finding the Fourth Proportional to 298,367.51, 447,195.26 and 207,920.28

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Solution

The fourth proportional to 298,367.51, 447,195.26 and 207,920.28 is: 311,632.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,367.51 : 447,195.26 = 207,920.28 : x
  2. Step 2: Convert to fraction form
    298,367.51/447,195.26 = 207,920.28/x
  3. Step 3: Cross multiply
    298,367.51x = 447,195.26 × 207,920.28
  4. Step 4: Simplify right side
    298,367.51x = 92,980,961,437.90
  5. Step 5: Solve for x
    x = 92,980,961,437.90/298,367.51
  6. Step 6: Final answer
    x = 311,632.33

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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.