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Finding the Fourth Proportional to 428,121.79, 641,758.26 and 238,668.81

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Solution

The fourth proportional to 428,121.79, 641,758.26 and 238,668.81 is: 357,766.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,121.79 : 641,758.26 = 238,668.81 : x
  2. Step 2: Convert to fraction form
    428,121.79/641,758.26 = 238,668.81/x
  3. Step 3: Cross multiply
    428,121.79x = 641,758.26 × 238,668.81
  4. Step 4: Simplify right side
    428,121.79x = 153,167,680,221.87
  5. Step 5: Solve for x
    x = 153,167,680,221.87/428,121.79
  6. Step 6: Final answer
    x = 357,766.61

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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.