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Finding the Fourth Proportional to 408,285.24, 612,388.26 and 123,978.25

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Solution

The fourth proportional to 408,285.24, 612,388.26 and 123,978.25 is: 185,955.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,285.24 : 612,388.26 = 123,978.25 : x
  2. Step 2: Convert to fraction form
    408,285.24/612,388.26 = 123,978.25/x
  3. Step 3: Cross multiply
    408,285.24x = 612,388.26 × 123,978.25
  4. Step 4: Simplify right side
    408,285.24x = 75,922,825,560.83
  5. Step 5: Solve for x
    x = 75,922,825,560.83/408,285.24
  6. Step 6: Final answer
    x = 185,955.35

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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.