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Finding the Fourth Proportional to 418,305.75, 627,557.04 and 137,823

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Solution

The fourth proportional to 418,305.75, 627,557.04 and 137,823 is: 206,766.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,305.75 : 627,557.04 = 137,823 : x
  2. Step 2: Convert to fraction form
    418,305.75/627,557.04 = 137,823/x
  3. Step 3: Cross multiply
    418,305.75x = 627,557.04 × 137,823
  4. Step 4: Simplify right side
    418,305.75x = 86,491,793,923.92
  5. Step 5: Solve for x
    x = 86,491,793,923.92/418,305.75
  6. Step 6: Final answer
    x = 206,766.93

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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.