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Finding the Fourth Proportional to 412,200, 618,388.20 and 127,884.42

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Solution

The fourth proportional to 412,200, 618,388.20 and 127,884.42 is: 191,853.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,200 : 618,388.20 = 127,884.42 : x
  2. Step 2: Convert to fraction form
    412,200/618,388.20 = 127,884.42/x
  3. Step 3: Cross multiply
    412,200x = 618,388.20 × 127,884.42
  4. Step 4: Simplify right side
    412,200x = 79,082,216,291.84
  5. Step 5: Solve for x
    x = 79,082,216,291.84/412,200
  6. Step 6: Final answer
    x = 191,853.99

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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.