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Finding the Fourth Proportional to 408,548.30, 612,920.86 and 128,065.55

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Solution

The fourth proportional to 408,548.30, 612,920.86 and 128,065.55 is: 192,129.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,548.30 : 612,920.86 = 128,065.55 : x
  2. Step 2: Convert to fraction form
    408,548.30/612,920.86 = 128,065.55/x
  3. Step 3: Cross multiply
    408,548.30x = 612,920.86 × 128,065.55
  4. Step 4: Simplify right side
    408,548.30x = 78,494,043,657.60
  5. Step 5: Solve for x
    x = 78,494,043,657.60/408,548.30
  6. Step 6: Final answer
    x = 192,129.17

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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.