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Finding the Fourth Proportional to 309,076.80, 463,393.80 and 119,374.80

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Solution

The fourth proportional to 309,076.80, 463,393.80 and 119,374.80 is: 178,976.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,076.80 : 463,393.80 = 119,374.80 : x
  2. Step 2: Convert to fraction form
    309,076.80/463,393.80 = 119,374.80/x
  3. Step 3: Cross multiply
    309,076.80x = 463,393.80 × 119,374.80
  4. Step 4: Simplify right side
    309,076.80x = 55,317,542,196.24
  5. Step 5: Solve for x
    x = 55,317,542,196.24/309,076.80
  6. Step 6: Final answer
    x = 178,976.69

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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.