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Finding the Fourth Proportional to 678,606.80, 1,017,910.20 and 412,448.90

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Solution

The fourth proportional to 678,606.80, 1,017,910.20 and 412,448.90 is: 618,673.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,606.80 : 1,017,910.20 = 412,448.90 : x
  2. Step 2: Convert to fraction form
    678,606.80/1,017,910.20 = 412,448.90/x
  3. Step 3: Cross multiply
    678,606.80x = 1,017,910.20 × 412,448.90
  4. Step 4: Simplify right side
    678,606.80x = 419,835,942,288.78
  5. Step 5: Solve for x
    x = 419,835,942,288.78/678,606.80
  6. Step 6: Final answer
    x = 618,673.35

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Double scale
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Similar ratio
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1.5x scale

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.