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Finding the Fourth Proportional to 379,224.36, 523,319.27 and 207,146.97

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Solution

The fourth proportional to 379,224.36, 523,319.27 and 207,146.97 is: 285,857.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,224.36 : 523,319.27 = 207,146.97 : x
  2. Step 2: Convert to fraction form
    379,224.36/523,319.27 = 207,146.97/x
  3. Step 3: Cross multiply
    379,224.36x = 523,319.27 × 207,146.97
  4. Step 4: Simplify right side
    379,224.36x = 108,404,000,087.38
  5. Step 5: Solve for x
    x = 108,404,000,087.38/379,224.36
  6. Step 6: Final answer
    x = 285,857.16

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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.