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Finding the Fourth Proportional to 355,708.30, 490,893.16 and 204,853.90

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Solution

The fourth proportional to 355,708.30, 490,893.16 and 204,853.90 is: 282,707.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,708.30 : 490,893.16 = 204,853.90 : x
  2. Step 2: Convert to fraction form
    355,708.30/490,893.16 = 204,853.90/x
  3. Step 3: Cross multiply
    355,708.30x = 490,893.16 × 204,853.90
  4. Step 4: Simplify right side
    355,708.30x = 100,561,378,309.32
  5. Step 5: Solve for x
    x = 100,561,378,309.32/355,708.30
  6. Step 6: Final answer
    x = 282,707.43

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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.