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Finding the Fourth Proportional to 428,863.16, 591,745.02 and 259,105.88

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Solution

The fourth proportional to 428,863.16, 591,745.02 and 259,105.88 is: 357,514.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,863.16 : 591,745.02 = 259,105.88 : x
  2. Step 2: Convert to fraction form
    428,863.16/591,745.02 = 259,105.88/x
  3. Step 3: Cross multiply
    428,863.16x = 591,745.02 × 259,105.88
  4. Step 4: Simplify right side
    428,863.16x = 153,324,614,142.72
  5. Step 5: Solve for x
    x = 153,324,614,142.72/428,863.16
  6. Step 6: Final answer
    x = 357,514.07

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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.