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Finding the Fourth Proportional to 379,656, 523,936.22 and 209,901.06

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Solution

The fourth proportional to 379,656, 523,936.22 and 209,901.06 is: 289,669.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,656 : 523,936.22 = 209,901.06 : x
  2. Step 2: Convert to fraction form
    379,656/523,936.22 = 209,901.06/x
  3. Step 3: Cross multiply
    379,656x = 523,936.22 × 209,901.06
  4. Step 4: Simplify right side
    379,656x = 109,974,766,900.89
  5. Step 5: Solve for x
    x = 109,974,766,900.89/379,656
  6. Step 6: Final answer
    x = 289,669.51

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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.