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Finding the Fourth Proportional to 368,380, 552,448.50 and 119,003.68

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Solution

The fourth proportional to 368,380, 552,448.50 and 119,003.68 is: 178,466.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,380 : 552,448.50 = 119,003.68 : x
  2. Step 2: Convert to fraction form
    368,380/552,448.50 = 119,003.68/x
  3. Step 3: Cross multiply
    368,380x = 552,448.50 × 119,003.68
  4. Step 4: Simplify right side
    368,380x = 65,743,404,510.48
  5. Step 5: Solve for x
    x = 65,743,404,510.48/368,380
  6. Step 6: Final answer
    x = 178,466.27

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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.