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Finding the Fourth Proportional to 298,976.26, 448,466 and 77,360.26

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Solution

The fourth proportional to 298,976.26, 448,466 and 77,360.26 is: 116,040.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,976.26 : 448,466 = 77,360.26 : x
  2. Step 2: Convert to fraction form
    298,976.26/448,466 = 77,360.26/x
  3. Step 3: Cross multiply
    298,976.26x = 448,466 × 77,360.26
  4. Step 4: Simplify right side
    298,976.26x = 34,693,446,361.16
  5. Step 5: Solve for x
    x = 34,693,446,361.16/298,976.26
  6. Step 6: Final answer
    x = 116,040.81

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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.