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Finding the Fourth Proportional to 355,408.06, 490,461.84 and 194,263

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Solution

The fourth proportional to 355,408.06, 490,461.84 and 194,263 is: 268,082.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,408.06 : 490,461.84 = 194,263 : x
  2. Step 2: Convert to fraction form
    355,408.06/490,461.84 = 194,263/x
  3. Step 3: Cross multiply
    355,408.06x = 490,461.84 × 194,263
  4. Step 4: Simplify right side
    355,408.06x = 95,278,588,423.92
  5. Step 5: Solve for x
    x = 95,278,588,423.92/355,408.06
  6. Step 6: Final answer
    x = 268,082.24

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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.