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Finding the Fourth Proportional to 617,613.86, 926,495.50 and 218,172.88

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Solution

The fourth proportional to 617,613.86, 926,495.50 and 218,172.88 is: 327,285.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,613.86 : 926,495.50 = 218,172.88 : x
  2. Step 2: Convert to fraction form
    617,613.86/926,495.50 = 218,172.88/x
  3. Step 3: Cross multiply
    617,613.86x = 926,495.50 × 218,172.88
  4. Step 4: Simplify right side
    617,613.86x = 202,136,191,542.04
  5. Step 5: Solve for x
    x = 202,136,191,542.04/617,613.86
  6. Step 6: Final answer
    x = 327,285.71

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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.