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Finding the Fourth Proportional to 678,605.80, 1,017,908.70 and 412,447.90

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Solution

The fourth proportional to 678,605.80, 1,017,908.70 and 412,447.90 is: 618,671.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,605.80 : 1,017,908.70 = 412,447.90 : x
  2. Step 2: Convert to fraction form
    678,605.80/1,017,908.70 = 412,447.90/x
  3. Step 3: Cross multiply
    678,605.80x = 1,017,908.70 × 412,447.90
  4. Step 4: Simplify right side
    678,605.80x = 419,834,305,706.73
  5. Step 5: Solve for x
    x = 419,834,305,706.73/678,605.80
  6. Step 6: Final answer
    x = 618,671.85

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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.