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Finding the Fourth Proportional to 428,419.92, 641,928.72 and 259,428.24

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Solution

The fourth proportional to 428,419.92, 641,928.72 and 259,428.24 is: 388,717.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,419.92 : 641,928.72 = 259,428.24 : x
  2. Step 2: Convert to fraction form
    428,419.92/641,928.72 = 259,428.24/x
  3. Step 3: Cross multiply
    428,419.92x = 641,928.72 × 259,428.24
  4. Step 4: Simplify right side
    428,419.92x = 166,534,438,035.05
  5. Step 5: Solve for x
    x = 166,534,438,035.05/428,419.92
  6. Step 6: Final answer
    x = 388,717.77

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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.