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Finding the Fourth Proportional to 408,137.18, 612,207.23 and 123,830.15

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Solution

The fourth proportional to 408,137.18, 612,207.23 and 123,830.15 is: 185,745.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,137.18 : 612,207.23 = 123,830.15 : x
  2. Step 2: Convert to fraction form
    408,137.18/612,207.23 = 123,830.15/x
  3. Step 3: Cross multiply
    408,137.18x = 612,207.23 × 123,830.15
  4. Step 4: Simplify right side
    408,137.18x = 75,809,709,441.80
  5. Step 5: Solve for x
    x = 75,809,709,441.80/408,137.18
  6. Step 6: Final answer
    x = 185,745.66

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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.