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Finding the Fourth Proportional to 408,871.32, 613,310.04 and 142,630.80

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Solution

The fourth proportional to 408,871.32, 613,310.04 and 142,630.80 is: 213,947.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,871.32 : 613,310.04 = 142,630.80 : x
  2. Step 2: Convert to fraction form
    408,871.32/613,310.04 = 142,630.80/x
  3. Step 3: Cross multiply
    408,871.32x = 613,310.04 × 142,630.80
  4. Step 4: Simplify right side
    408,871.32x = 87,476,901,653.23
  5. Step 5: Solve for x
    x = 87,476,901,653.23/408,871.32
  6. Step 6: Final answer
    x = 213,947.27

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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.