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Finding the Fourth Proportional to 428,250.49, 641,674.95 and 259,258.60

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Solution

The fourth proportional to 428,250.49, 641,674.95 and 259,258.60 is: 388,463.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,250.49 : 641,674.95 = 259,258.60 : x
  2. Step 2: Convert to fraction form
    428,250.49/641,674.95 = 259,258.60/x
  3. Step 3: Cross multiply
    428,250.49x = 641,674.95 × 259,258.60
  4. Step 4: Simplify right side
    428,250.49x = 166,359,749,192.07
  5. Step 5: Solve for x
    x = 166,359,749,192.07/428,250.49
  6. Step 6: Final answer
    x = 388,463.65

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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.