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Finding the Fourth Proportional to 298,902.49, 448,256.23 and 99,169.26

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Solution

The fourth proportional to 298,902.49, 448,256.23 and 99,169.26 is: 148,721.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,902.49 : 448,256.23 = 99,169.26 : x
  2. Step 2: Convert to fraction form
    298,902.49/448,256.23 = 99,169.26/x
  3. Step 3: Cross multiply
    298,902.49x = 448,256.23 × 99,169.26
  4. Step 4: Simplify right side
    298,902.49x = 44,453,238,619.49
  5. Step 5: Solve for x
    x = 44,453,238,619.49/298,902.49
  6. Step 6: Final answer
    x = 148,721.54

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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.