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Finding the Fourth Proportional to 355,534.12, 490,644.17 and 194,399.20

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Solution

The fourth proportional to 355,534.12, 490,644.17 and 194,399.20 is: 268,274.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,534.12 : 490,644.17 = 194,399.20 : x
  2. Step 2: Convert to fraction form
    355,534.12/490,644.17 = 194,399.20/x
  3. Step 3: Cross multiply
    355,534.12x = 490,644.17 × 194,399.20
  4. Step 4: Simplify right side
    355,534.12x = 95,380,834,132.66
  5. Step 5: Solve for x
    x = 95,380,834,132.66/355,534.12
  6. Step 6: Final answer
    x = 268,274.77

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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.