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Finding the Fourth Proportional to 408,201.49, 612,304.19 and 123,894.50

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Solution

The fourth proportional to 408,201.49, 612,304.19 and 123,894.50 is: 185,842.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,201.49 : 612,304.19 = 123,894.50 : x
  2. Step 2: Convert to fraction form
    408,201.49/612,304.19 = 123,894.50/x
  3. Step 3: Cross multiply
    408,201.49x = 612,304.19 × 123,894.50
  4. Step 4: Simplify right side
    408,201.49x = 75,861,122,379.24
  5. Step 5: Solve for x
    x = 75,861,122,379.24/408,201.49
  6. Step 6: Final answer
    x = 185,842.35

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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.