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Finding the Fourth Proportional to 379,295, 523,382.48 and 209,519

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Solution

The fourth proportional to 379,295, 523,382.48 and 209,519 is: 289,111.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,295 : 523,382.48 = 209,519 : x
  2. Step 2: Convert to fraction form
    379,295/523,382.48 = 209,519/x
  3. Step 3: Cross multiply
    379,295x = 523,382.48 × 209,519
  4. Step 4: Simplify right side
    379,295x = 109,658,573,827.12
  5. Step 5: Solve for x
    x = 109,658,573,827.12/379,295
  6. Step 6: Final answer
    x = 289,111.57

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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.