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Finding the Fourth Proportional to 379,618.94, 523,954.23 and 315,894.62

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Solution

The fourth proportional to 379,618.94, 523,954.23 and 315,894.62 is: 436,001.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,618.94 : 523,954.23 = 315,894.62 : x
  2. Step 2: Convert to fraction form
    379,618.94/523,954.23 = 315,894.62/x
  3. Step 3: Cross multiply
    379,618.94x = 523,954.23 × 315,894.62
  4. Step 4: Simplify right side
    379,618.94x = 165,514,322,383.24
  5. Step 5: Solve for x
    x = 165,514,322,383.24/379,618.94
  6. Step 6: Final answer
    x = 436,001.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.