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Finding the Fourth Proportional to 356,198.46, 491,783.31 and 317,891.94

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Solution

The fourth proportional to 356,198.46, 491,783.31 and 317,891.94 is: 438,895.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,198.46 : 491,783.31 = 317,891.94 : x
  2. Step 2: Convert to fraction form
    356,198.46/491,783.31 = 317,891.94/x
  3. Step 3: Cross multiply
    356,198.46x = 491,783.31 × 317,891.94
  4. Step 4: Simplify right side
    356,198.46x = 156,333,950,475.52
  5. Step 5: Solve for x
    x = 156,333,950,475.52/356,198.46
  6. Step 6: Final answer
    x = 438,895.64

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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.