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Finding the Fourth Proportional to 978,136.80, 1,467,205.20 and 446,695.80

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Solution

The fourth proportional to 978,136.80, 1,467,205.20 and 446,695.80 is: 670,043.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,136.80 : 1,467,205.20 = 446,695.80 : x
  2. Step 2: Convert to fraction form
    978,136.80/1,467,205.20 = 446,695.80/x
  3. Step 3: Cross multiply
    978,136.80x = 1,467,205.20 × 446,695.80
  4. Step 4: Simplify right side
    978,136.80x = 655,394,400,578.16
  5. Step 5: Solve for x
    x = 655,394,400,578.16/978,136.80
  6. Step 6: Final answer
    x = 670,043.70

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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.