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Finding the Fourth Proportional to 284,310.78, 426,613.77 and 115,954.62

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Solution

The fourth proportional to 284,310.78, 426,613.77 and 115,954.62 is: 173,992.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,310.78 : 426,613.77 = 115,954.62 : x
  2. Step 2: Convert to fraction form
    284,310.78/426,613.77 = 115,954.62/x
  3. Step 3: Cross multiply
    284,310.78x = 426,613.77 × 115,954.62
  4. Step 4: Simplify right side
    284,310.78x = 49,467,837,587.12
  5. Step 5: Solve for x
    x = 49,467,837,587.12/284,310.78
  6. Step 6: Final answer
    x = 173,992.13

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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.