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Finding the Fourth Proportional to 411,375.80, 617,063.70 and 388,047.80

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Solution

The fourth proportional to 411,375.80, 617,063.70 and 388,047.80 is: 582,071.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,375.80 : 617,063.70 = 388,047.80 : x
  2. Step 2: Convert to fraction form
    411,375.80/617,063.70 = 388,047.80/x
  3. Step 3: Cross multiply
    411,375.80x = 617,063.70 × 388,047.80
  4. Step 4: Simplify right side
    411,375.80x = 239,450,211,244.86
  5. Step 5: Solve for x
    x = 239,450,211,244.86/411,375.80
  6. Step 6: Final answer
    x = 582,071.70

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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.