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Finding the Fourth Proportional to 412,005.20, 618,007.80 and 405,006.80

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Solution

The fourth proportional to 412,005.20, 618,007.80 and 405,006.80 is: 607,510.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,005.20 : 618,007.80 = 405,006.80 : x
  2. Step 2: Convert to fraction form
    412,005.20/618,007.80 = 405,006.80/x
  3. Step 3: Cross multiply
    412,005.20x = 618,007.80 × 405,006.80
  4. Step 4: Simplify right side
    412,005.20x = 250,297,361,453.04
  5. Step 5: Solve for x
    x = 250,297,361,453.04/412,005.20
  6. Step 6: Final answer
    x = 607,510.20

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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.