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Finding the Fourth Proportional to 428,949.44, 591,966 and 259,150.64

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Solution

The fourth proportional to 428,949.44, 591,966 and 259,150.64 is: 357,637.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,949.44 : 591,966 = 259,150.64 : x
  2. Step 2: Convert to fraction form
    428,949.44/591,966 = 259,150.64/x
  3. Step 3: Cross multiply
    428,949.44x = 591,966 × 259,150.64
  4. Step 4: Simplify right side
    428,949.44x = 153,408,367,758.24
  5. Step 5: Solve for x
    x = 153,408,367,758.24/428,949.44
  6. Step 6: Final answer
    x = 357,637.41

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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.