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Finding the Fourth Proportional to 262,494.72, 393,375.87 and 198,400.19

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Solution

The fourth proportional to 262,494.72, 393,375.87 and 198,400.19 is: 297,323.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,494.72 : 393,375.87 = 198,400.19 : x
  2. Step 2: Convert to fraction form
    262,494.72/393,375.87 = 198,400.19/x
  3. Step 3: Cross multiply
    262,494.72x = 393,375.87 × 198,400.19
  4. Step 4: Simplify right side
    262,494.72x = 78,045,845,382.54
  5. Step 5: Solve for x
    x = 78,045,845,382.54/262,494.72
  6. Step 6: Final answer
    x = 297,323.49

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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.