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Finding the Fourth Proportional to 552,857.80, 762,943.07 and 311,142.10

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Solution

The fourth proportional to 552,857.80, 762,943.07 and 311,142.10 is: 429,375.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,857.80 : 762,943.07 = 311,142.10 : x
  2. Step 2: Convert to fraction form
    552,857.80/762,943.07 = 311,142.10/x
  3. Step 3: Cross multiply
    552,857.80x = 762,943.07 × 311,142.10
  4. Step 4: Simplify right side
    552,857.80x = 237,383,706,130.04
  5. Step 5: Solve for x
    x = 237,383,706,130.04/552,857.80
  6. Step 6: Final answer
    x = 429,375.71

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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.