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Finding the Fourth Proportional to 408,524.36, 612,786.58 and 109,006.04

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Solution

The fourth proportional to 408,524.36, 612,786.58 and 109,006.04 is: 163,509.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,524.36 : 612,786.58 = 109,006.04 : x
  2. Step 2: Convert to fraction form
    408,524.36/612,786.58 = 109,006.04/x
  3. Step 3: Cross multiply
    408,524.36x = 612,786.58 × 109,006.04
  4. Step 4: Simplify right side
    408,524.36x = 66,797,439,710.39
  5. Step 5: Solve for x
    x = 66,797,439,710.39/408,524.36
  6. Step 6: Final answer
    x = 163,509.08

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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.