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Finding the Fourth Proportional to 263,638.41, 395,475.90 and 105,866.88

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Solution

The fourth proportional to 263,638.41, 395,475.90 and 105,866.88 is: 158,807.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,638.41 : 395,475.90 = 105,866.88 : x
  2. Step 2: Convert to fraction form
    263,638.41/395,475.90 = 105,866.88/x
  3. Step 3: Cross multiply
    263,638.41x = 395,475.90 × 105,866.88
  4. Step 4: Simplify right side
    263,638.41x = 41,867,799,648.19
  5. Step 5: Solve for x
    x = 41,867,799,648.19/263,638.41
  6. Step 6: Final answer
    x = 158,807.66

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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.