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Finding the Fourth Proportional to 355,687.95, 490,861.10 and 194,543

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Solution

The fourth proportional to 355,687.95, 490,861.10 and 194,543 is: 268,475.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,687.95 : 490,861.10 = 194,543 : x
  2. Step 2: Convert to fraction form
    355,687.95/490,861.10 = 194,543/x
  3. Step 3: Cross multiply
    355,687.95x = 490,861.10 × 194,543
  4. Step 4: Simplify right side
    355,687.95x = 95,493,590,977.30
  5. Step 5: Solve for x
    x = 95,493,590,977.30/355,687.95
  6. Step 6: Final answer
    x = 268,475.76

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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.