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Finding the Fourth Proportional to 298,949.40, 448,424.10 and 269,424.90

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Solution

The fourth proportional to 298,949.40, 448,424.10 and 269,424.90 is: 404,137.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,949.40 : 448,424.10 = 269,424.90 : x
  2. Step 2: Convert to fraction form
    298,949.40/448,424.10 = 269,424.90/x
  3. Step 3: Cross multiply
    298,949.40x = 448,424.10 × 269,424.90
  4. Step 4: Simplify right side
    298,949.40x = 120,816,618,300.09
  5. Step 5: Solve for x
    x = 120,816,618,300.09/298,949.40
  6. Step 6: Final answer
    x = 404,137.35

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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.