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Finding the Fourth Proportional to 263,014.80, 394,619.40 and 105,356.40

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Solution

The fourth proportional to 263,014.80, 394,619.40 and 105,356.40 is: 158,073.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,014.80 : 394,619.40 = 105,356.40 : x
  2. Step 2: Convert to fraction form
    263,014.80/394,619.40 = 105,356.40/x
  3. Step 3: Cross multiply
    263,014.80x = 394,619.40 × 105,356.40
  4. Step 4: Simplify right side
    263,014.80x = 41,575,679,354.16
  5. Step 5: Solve for x
    x = 41,575,679,354.16/263,014.80
  6. Step 6: Final answer
    x = 158,073.54

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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.