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Finding the Fourth Proportional to 408,672.12, 612,211.14 and 230,640.60

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Solution

The fourth proportional to 408,672.12, 612,211.14 and 230,640.60 is: 345,511.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,672.12 : 612,211.14 = 230,640.60 : x
  2. Step 2: Convert to fraction form
    408,672.12/612,211.14 = 230,640.60/x
  3. Step 3: Cross multiply
    408,672.12x = 612,211.14 × 230,640.60
  4. Step 4: Simplify right side
    408,672.12x = 141,200,744,656.28
  5. Step 5: Solve for x
    x = 141,200,744,656.28/408,672.12
  6. Step 6: Final answer
    x = 345,511.08

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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.