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Finding the Fourth Proportional to 428,395.36, 641,891.94 and 259,403.80

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Solution

The fourth proportional to 428,395.36, 641,891.94 and 259,403.80 is: 388,681.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,395.36 : 641,891.94 = 259,403.80 : x
  2. Step 2: Convert to fraction form
    428,395.36/641,891.94 = 259,403.80/x
  3. Step 3: Cross multiply
    428,395.36x = 641,891.94 × 259,403.80
  4. Step 4: Simplify right side
    428,395.36x = 166,509,208,425.37
  5. Step 5: Solve for x
    x = 166,509,208,425.37/428,395.36
  6. Step 6: Final answer
    x = 388,681.17

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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.