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Finding the Fourth Proportional to 428,258.66, 641,687.15 and 259,266.78

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Solution

The fourth proportional to 428,258.66, 641,687.15 and 259,266.78 is: 388,475.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,258.66 : 641,687.15 = 259,266.78 : x
  2. Step 2: Convert to fraction form
    428,258.66/641,687.15 = 259,266.78/x
  3. Step 3: Cross multiply
    428,258.66x = 641,687.15 × 259,266.78
  4. Step 4: Simplify right side
    428,258.66x = 166,368,161,796.04
  5. Step 5: Solve for x
    x = 166,368,161,796.04/428,258.66
  6. Step 6: Final answer
    x = 388,475.89

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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.