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Finding the Fourth Proportional to 263,265.40, 394,314.90 and 105,412.60

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Solution

The fourth proportional to 263,265.40, 394,314.90 and 105,412.60 is: 157,885.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,265.40 : 394,314.90 = 105,412.60 : x
  2. Step 2: Convert to fraction form
    263,265.40/394,314.90 = 105,412.60/x
  3. Step 3: Cross multiply
    263,265.40x = 394,314.90 × 105,412.60
  4. Step 4: Simplify right side
    263,265.40x = 41,565,758,827.74
  5. Step 5: Solve for x
    x = 41,565,758,827.74/263,265.40
  6. Step 6: Final answer
    x = 157,885.38

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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.