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Finding the Fourth Proportional to 408,054.30, 612,081.45 and 127,599.90

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Solution

The fourth proportional to 408,054.30, 612,081.45 and 127,599.90 is: 191,399.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,054.30 : 612,081.45 = 127,599.90 : x
  2. Step 2: Convert to fraction form
    408,054.30/612,081.45 = 127,599.90/x
  3. Step 3: Cross multiply
    408,054.30x = 612,081.45 × 127,599.90
  4. Step 4: Simplify right side
    408,054.30x = 78,101,531,811.86
  5. Step 5: Solve for x
    x = 78,101,531,811.86/408,054.30
  6. Step 6: Final answer
    x = 191,399.85

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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.