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Finding the Fourth Proportional to 298,696.48, 448,057.32 and 138,922.36

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Solution

The fourth proportional to 298,696.48, 448,057.32 and 138,922.36 is: 208,389.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,696.48 : 448,057.32 = 138,922.36 : x
  2. Step 2: Convert to fraction form
    298,696.48/448,057.32 = 138,922.36/x
  3. Step 3: Cross multiply
    298,696.48x = 448,057.32 × 138,922.36
  4. Step 4: Simplify right side
    298,696.48x = 62,245,180,309.68
  5. Step 5: Solve for x
    x = 62,245,180,309.68/298,696.48
  6. Step 6: Final answer
    x = 208,389.40

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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.