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Finding the Fourth Proportional to 675,910.53, 1,013,813.82 and 419,795.06

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Solution

The fourth proportional to 675,910.53, 1,013,813.82 and 419,795.06 is: 629,660.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,910.53 : 1,013,813.82 = 419,795.06 : x
  2. Step 2: Convert to fraction form
    675,910.53/1,013,813.82 = 419,795.06/x
  3. Step 3: Cross multiply
    675,910.53x = 1,013,813.82 × 419,795.06
  4. Step 4: Simplify right side
    675,910.53x = 425,594,028,326.66
  5. Step 5: Solve for x
    x = 425,594,028,326.66/675,910.53
  6. Step 6: Final answer
    x = 629,660.30

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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.