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Finding the Fourth Proportional to 408,224.40, 612,190.80 and 141,993.60

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Solution

The fourth proportional to 408,224.40, 612,190.80 and 141,993.60 is: 212,939.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,224.40 : 612,190.80 = 141,993.60 : x
  2. Step 2: Convert to fraction form
    408,224.40/612,190.80 = 141,993.60/x
  3. Step 3: Cross multiply
    408,224.40x = 612,190.80 × 141,993.60
  4. Step 4: Simplify right side
    408,224.40x = 86,927,175,578.88
  5. Step 5: Solve for x
    x = 86,927,175,578.88/408,224.40
  6. Step 6: Final answer
    x = 212,939.69

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1.5x scale

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.