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Finding the Fourth Proportional to 408,106.62, 612,161.37 and 123,799.59

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Solution

The fourth proportional to 408,106.62, 612,161.37 and 123,799.59 is: 185,699.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,106.62 : 612,161.37 = 123,799.59 : x
  2. Step 2: Convert to fraction form
    408,106.62/612,161.37 = 123,799.59/x
  3. Step 3: Cross multiply
    408,106.62x = 612,161.37 × 123,799.59
  4. Step 4: Simplify right side
    408,106.62x = 75,785,326,619.84
  5. Step 5: Solve for x
    x = 75,785,326,619.84/408,106.62
  6. Step 6: Final answer
    x = 185,699.82

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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.