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Finding the Fourth Proportional to 411,728.20, 617,621.10 and 162,377.80

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Solution

The fourth proportional to 411,728.20, 617,621.10 and 162,377.80 is: 243,578.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,728.20 : 617,621.10 = 162,377.80 : x
  2. Step 2: Convert to fraction form
    411,728.20/617,621.10 = 162,377.80/x
  3. Step 3: Cross multiply
    411,728.20x = 617,621.10 × 162,377.80
  4. Step 4: Simplify right side
    411,728.20x = 100,287,955,451.58
  5. Step 5: Solve for x
    x = 100,287,955,451.58/411,728.20
  6. Step 6: Final answer
    x = 243,578.06

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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.