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Finding the Fourth Proportional to 408,843.40, 613,629.60 and 240,152.80

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Solution

The fourth proportional to 408,843.40, 613,629.60 and 240,152.80 is: 360,443.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,843.40 : 613,629.60 = 240,152.80 : x
  2. Step 2: Convert to fraction form
    408,843.40/613,629.60 = 240,152.80/x
  3. Step 3: Cross multiply
    408,843.40x = 613,629.60 × 240,152.80
  4. Step 4: Simplify right side
    408,843.40x = 147,364,866,602.88
  5. Step 5: Solve for x
    x = 147,364,866,602.88/408,843.40
  6. Step 6: Final answer
    x = 360,443.31

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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.