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Finding the Fourth Proportional to 355,337.52, 490,345.11 and 194,193.96

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Solution

The fourth proportional to 355,337.52, 490,345.11 and 194,193.96 is: 267,976.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,337.52 : 490,345.11 = 194,193.96 : x
  2. Step 2: Convert to fraction form
    355,337.52/490,345.11 = 194,193.96/x
  3. Step 3: Cross multiply
    355,337.52x = 490,345.11 × 194,193.96
  4. Step 4: Simplify right side
    355,337.52x = 95,222,058,677.54
  5. Step 5: Solve for x
    x = 95,222,058,677.54/355,337.52
  6. Step 6: Final answer
    x = 267,976.37

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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.