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Finding the Fourth Proportional to 490,715.31, 677,142.44 and 283,947.96

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Solution

The fourth proportional to 490,715.31, 677,142.44 and 283,947.96 is: 391,822.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,715.31 : 677,142.44 = 283,947.96 : x
  2. Step 2: Convert to fraction form
    490,715.31/677,142.44 = 283,947.96/x
  3. Step 3: Cross multiply
    490,715.31x = 677,142.44 × 283,947.96
  4. Step 4: Simplify right side
    490,715.31x = 192,273,215,177.29
  5. Step 5: Solve for x
    x = 192,273,215,177.29/490,715.31
  6. Step 6: Final answer
    x = 391,822.33

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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.