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Finding the Fourth Proportional to 408,101.77, 612,154.07 and 123,794.78

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Solution

The fourth proportional to 408,101.77, 612,154.07 and 123,794.78 is: 185,692.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,101.77 : 612,154.07 = 123,794.78 : x
  2. Step 2: Convert to fraction form
    408,101.77/612,154.07 = 123,794.78/x
  3. Step 3: Cross multiply
    408,101.77x = 612,154.07 × 123,794.78
  4. Step 4: Simplify right side
    408,101.77x = 75,781,475,670.47
  5. Step 5: Solve for x
    x = 75,781,475,670.47/408,101.77
  6. Step 6: Final answer
    x = 185,692.59

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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.