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Finding the Fourth Proportional to 355,672.80, 490,822.25 and 194,524.31

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Solution

The fourth proportional to 355,672.80, 490,822.25 and 194,524.31 is: 268,440.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,672.80 : 490,822.25 = 194,524.31 : x
  2. Step 2: Convert to fraction form
    355,672.80/490,822.25 = 194,524.31/x
  3. Step 3: Cross multiply
    355,672.80x = 490,822.25 × 194,524.31
  4. Step 4: Simplify right side
    355,672.80x = 95,476,859,513.90
  5. Step 5: Solve for x
    x = 95,476,859,513.90/355,672.80
  6. Step 6: Final answer
    x = 268,440.15

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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.