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Finding the Fourth Proportional to 408,079.20, 612,118.80 and 275,368.80

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Solution

The fourth proportional to 408,079.20, 612,118.80 and 275,368.80 is: 413,053.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,079.20 : 612,118.80 = 275,368.80 : x
  2. Step 2: Convert to fraction form
    408,079.20/612,118.80 = 275,368.80/x
  3. Step 3: Cross multiply
    408,079.20x = 612,118.80 × 275,368.80
  4. Step 4: Simplify right side
    408,079.20x = 168,558,419,413.44
  5. Step 5: Solve for x
    x = 168,558,419,413.44/408,079.20
  6. Step 6: Final answer
    x = 413,053.20

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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.