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Finding the Fourth Proportional to 358,462.88, 494,620.89 and 205,472.92

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Solution

The fourth proportional to 358,462.88, 494,620.89 and 205,472.92 is: 283,519.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,462.88 : 494,620.89 = 205,472.92 : x
  2. Step 2: Convert to fraction form
    358,462.88/494,620.89 = 205,472.92/x
  3. Step 3: Cross multiply
    358,462.88x = 494,620.89 × 205,472.92
  4. Step 4: Simplify right side
    358,462.88x = 101,631,198,561.30
  5. Step 5: Solve for x
    x = 101,631,198,561.30/358,462.88
  6. Step 6: Final answer
    x = 283,519.45

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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.