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Finding the Fourth Proportional to 408,211.60, 612,414.60 and 171,432.40

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Solution

The fourth proportional to 408,211.60, 612,414.60 and 171,432.40 is: 257,189.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,211.60 : 612,414.60 = 171,432.40 : x
  2. Step 2: Convert to fraction form
    408,211.60/612,414.60 = 171,432.40/x
  3. Step 3: Cross multiply
    408,211.60x = 612,414.60 × 171,432.40
  4. Step 4: Simplify right side
    408,211.60x = 104,987,704,673.04
  5. Step 5: Solve for x
    x = 104,987,704,673.04/408,211.60
  6. Step 6: Final answer
    x = 257,189.42

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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.