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Finding the Fourth Proportional to 428,002.56, 641,653.56 and 161,611.92

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Solution

The fourth proportional to 428,002.56, 641,653.56 and 161,611.92 is: 242,285.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,002.56 : 641,653.56 = 161,611.92 : x
  2. Step 2: Convert to fraction form
    428,002.56/641,653.56 = 161,611.92/x
  3. Step 3: Cross multiply
    428,002.56x = 641,653.56 × 161,611.92
  4. Step 4: Simplify right side
    428,002.56x = 103,698,863,806.44
  5. Step 5: Solve for x
    x = 103,698,863,806.44/428,002.56
  6. Step 6: Final answer
    x = 242,285.62

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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.