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Finding the Fourth Proportional to 408,385.15, 612,128.06 and 168,367.40

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Solution

The fourth proportional to 408,385.15, 612,128.06 and 168,367.40 is: 252,365.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,385.15 : 612,128.06 = 168,367.40 : x
  2. Step 2: Convert to fraction form
    408,385.15/612,128.06 = 168,367.40/x
  3. Step 3: Cross multiply
    408,385.15x = 612,128.06 × 168,367.40
  4. Step 4: Simplify right side
    408,385.15x = 103,062,410,438.47
  5. Step 5: Solve for x
    x = 103,062,410,438.47/408,385.15
  6. Step 6: Final answer
    x = 252,365.71

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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.