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Finding the Fourth Proportional to 457,199.73, 685,930.82 and 299,232.72

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Solution

The fourth proportional to 457,199.73, 685,930.82 and 299,232.72 is: 448,934.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,199.73 : 685,930.82 = 299,232.72 : x
  2. Step 2: Convert to fraction form
    457,199.73/685,930.82 = 299,232.72/x
  3. Step 3: Cross multiply
    457,199.73x = 685,930.82 × 299,232.72
  4. Step 4: Simplify right side
    457,199.73x = 205,252,943,504.27
  5. Step 5: Solve for x
    x = 205,252,943,504.27/457,199.73
  6. Step 6: Final answer
    x = 448,934.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.