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Finding the Fourth Proportional to 355,774.88, 490,965.36 and 194,634.56

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Solution

The fourth proportional to 355,774.88, 490,965.36 and 194,634.56 is: 268,593.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,774.88 : 490,965.36 = 194,634.56 : x
  2. Step 2: Convert to fraction form
    355,774.88/490,965.36 = 194,634.56/x
  3. Step 3: Cross multiply
    355,774.88x = 490,965.36 × 194,634.56
  4. Step 4: Simplify right side
    355,774.88x = 95,558,826,818.84
  5. Step 5: Solve for x
    x = 95,558,826,818.84/355,774.88
  6. Step 6: Final answer
    x = 268,593.52

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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.