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Finding the Fourth Proportional to 263,271.80, 394,907.70 and 105,613.40

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Solution

The fourth proportional to 263,271.80, 394,907.70 and 105,613.40 is: 158,420.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,271.80 : 394,907.70 = 105,613.40 : x
  2. Step 2: Convert to fraction form
    263,271.80/394,907.70 = 105,613.40/x
  3. Step 3: Cross multiply
    263,271.80x = 394,907.70 × 105,613.40
  4. Step 4: Simplify right side
    263,271.80x = 41,707,544,883.18
  5. Step 5: Solve for x
    x = 41,707,544,883.18/263,271.80
  6. Step 6: Final answer
    x = 158,420.10

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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.