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Finding the Fourth Proportional to 428,391.99, 641,886.93 and 259,964.10

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Solution

The fourth proportional to 428,391.99, 641,886.93 and 259,964.10 is: 389,520.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,391.99 : 641,886.93 = 259,964.10 : x
  2. Step 2: Convert to fraction form
    428,391.99/641,886.93 = 259,964.10/x
  3. Step 3: Cross multiply
    428,391.99x = 641,886.93 × 259,964.10
  4. Step 4: Simplify right side
    428,391.99x = 166,867,558,059.21
  5. Step 5: Solve for x
    x = 166,867,558,059.21/428,391.99
  6. Step 6: Final answer
    x = 389,520.72

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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.