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Finding the Fourth Proportional to 408,052.30, 612,078.45 and 127,597.90

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Solution

The fourth proportional to 408,052.30, 612,078.45 and 127,597.90 is: 191,396.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,052.30 : 612,078.45 = 127,597.90 : x
  2. Step 2: Convert to fraction form
    408,052.30/612,078.45 = 127,597.90/x
  3. Step 3: Cross multiply
    408,052.30x = 612,078.45 × 127,597.90
  4. Step 4: Simplify right side
    408,052.30x = 78,099,924,855.26
  5. Step 5: Solve for x
    x = 78,099,924,855.26/408,052.30
  6. Step 6: Final answer
    x = 191,396.85

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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.