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Finding the Fourth Proportional to 279,396.94, 418,801.97 and 137,045.11

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Solution

The fourth proportional to 279,396.94, 418,801.97 and 137,045.11 is: 205,423.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,396.94 : 418,801.97 = 137,045.11 : x
  2. Step 2: Convert to fraction form
    279,396.94/418,801.97 = 137,045.11/x
  3. Step 3: Cross multiply
    279,396.94x = 418,801.97 × 137,045.11
  4. Step 4: Simplify right side
    279,396.94x = 57,394,762,046.87
  5. Step 5: Solve for x
    x = 57,394,762,046.87/279,396.94
  6. Step 6: Final answer
    x = 205,423.73

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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.