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Finding the Fourth Proportional to 617,609.86, 926,489.50 and 218,168.88

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Solution

The fourth proportional to 617,609.86, 926,489.50 and 218,168.88 is: 327,279.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,609.86 : 926,489.50 = 218,168.88 : x
  2. Step 2: Convert to fraction form
    617,609.86/926,489.50 = 218,168.88/x
  3. Step 3: Cross multiply
    617,609.86x = 926,489.50 × 218,168.88
  4. Step 4: Simplify right side
    617,609.86x = 202,131,176,546.76
  5. Step 5: Solve for x
    x = 202,131,176,546.76/617,609.86
  6. Step 6: Final answer
    x = 327,279.71

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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.