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Finding the Fourth Proportional to 411,375.14, 617,128.45 and 126,998.84

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Solution

The fourth proportional to 411,375.14, 617,128.45 and 126,998.84 is: 190,518.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,375.14 : 617,128.45 = 126,998.84 : x
  2. Step 2: Convert to fraction form
    411,375.14/617,128.45 = 126,998.84/x
  3. Step 3: Cross multiply
    411,375.14x = 617,128.45 × 126,998.84
  4. Step 4: Simplify right side
    411,375.14x = 78,374,598,506.32
  5. Step 5: Solve for x
    x = 78,374,598,506.32/411,375.14
  6. Step 6: Final answer
    x = 190,518.56

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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.