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Finding the Fourth Proportional to 285,571.60, 427,435.80 and 263,453.20

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Solution

The fourth proportional to 285,571.60, 427,435.80 and 263,453.20 is: 394,329.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,571.60 : 427,435.80 = 263,453.20 : x
  2. Step 2: Convert to fraction form
    285,571.60/427,435.80 = 263,453.20/x
  3. Step 3: Cross multiply
    285,571.60x = 427,435.80 × 263,453.20
  4. Step 4: Simplify right side
    285,571.60x = 112,609,329,304.56
  5. Step 5: Solve for x
    x = 112,609,329,304.56/285,571.60
  6. Step 6: Final answer
    x = 394,329.58

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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.