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Finding the Fourth Proportional to 408,432.38, 612,648.84 and 127,971.50

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Solution

The fourth proportional to 408,432.38, 612,648.84 and 127,971.50 is: 191,957.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,432.38 : 612,648.84 = 127,971.50 : x
  2. Step 2: Convert to fraction form
    408,432.38/612,648.84 = 127,971.50/x
  3. Step 3: Cross multiply
    408,432.38x = 612,648.84 × 127,971.50
  4. Step 4: Simplify right side
    408,432.38x = 78,401,591,028.06
  5. Step 5: Solve for x
    x = 78,401,591,028.06/408,432.38
  6. Step 6: Final answer
    x = 191,957.33

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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.