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Finding the Fourth Proportional to 428,859.50, 591,438.84 and 267,729.44

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Solution

The fourth proportional to 428,859.50, 591,438.84 and 267,729.44 is: 369,224.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,859.50 : 591,438.84 = 267,729.44 : x
  2. Step 2: Convert to fraction form
    428,859.50/591,438.84 = 267,729.44/x
  3. Step 3: Cross multiply
    428,859.50x = 591,438.84 × 267,729.44
  4. Step 4: Simplify right side
    428,859.50x = 158,345,589,427.45
  5. Step 5: Solve for x
    x = 158,345,589,427.45/428,859.50
  6. Step 6: Final answer
    x = 369,224.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.