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Finding the Fourth Proportional to 379,508, 523,675.68 and 209,719.04

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Solution

The fourth proportional to 379,508, 523,675.68 and 209,719.04 is: 289,387.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,508 : 523,675.68 = 209,719.04 : x
  2. Step 2: Convert to fraction form
    379,508/523,675.68 = 209,719.04/x
  3. Step 3: Cross multiply
    379,508x = 523,675.68 × 209,719.04
  4. Step 4: Simplify right side
    379,508x = 109,824,760,880.95
  5. Step 5: Solve for x
    x = 109,824,760,880.95/379,508
  6. Step 6: Final answer
    x = 289,387.21

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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.