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Finding the Fourth Proportional to 978,200.10, 1,467,555.30 and 379,180.80

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Solution

The fourth proportional to 978,200.10, 1,467,555.30 and 379,180.80 is: 568,870.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,200.10 : 1,467,555.30 = 379,180.80 : x
  2. Step 2: Convert to fraction form
    978,200.10/1,467,555.30 = 379,180.80/x
  3. Step 3: Cross multiply
    978,200.10x = 1,467,555.30 × 379,180.80
  4. Step 4: Simplify right side
    978,200.10x = 556,468,792,698.24
  5. Step 5: Solve for x
    x = 556,468,792,698.24/978,200.10
  6. Step 6: Final answer
    x = 568,870.10

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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.