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Finding the Fourth Proportional to 379,262.84, 523,381.11 and 209,496.96

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Solution

The fourth proportional to 379,262.84, 523,381.11 and 209,496.96 is: 289,104.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,262.84 : 523,381.11 = 209,496.96 : x
  2. Step 2: Convert to fraction form
    379,262.84/523,381.11 = 209,496.96/x
  3. Step 3: Cross multiply
    379,262.84x = 523,381.11 × 209,496.96
  4. Step 4: Simplify right side
    379,262.84x = 109,646,751,466.43
  5. Step 5: Solve for x
    x = 109,646,751,466.43/379,262.84
  6. Step 6: Final answer
    x = 289,104.92

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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.