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Finding the Fourth Proportional to 491,072.82, 677,687.49 and 289,868.82

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Solution

The fourth proportional to 491,072.82, 677,687.49 and 289,868.82 is: 400,023.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,072.82 : 677,687.49 = 289,868.82 : x
  2. Step 2: Convert to fraction form
    491,072.82/677,687.49 = 289,868.82/x
  3. Step 3: Cross multiply
    491,072.82x = 677,687.49 × 289,868.82
  4. Step 4: Simplify right side
    491,072.82x = 196,440,473,055.06
  5. Step 5: Solve for x
    x = 196,440,473,055.06/491,072.82
  6. Step 6: Final answer
    x = 400,023.10

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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.