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Finding the Fourth Proportional to 408,147.40, 612,512.70 and 171,659.80

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Solution

The fourth proportional to 408,147.40, 612,512.70 and 171,659.80 is: 257,612.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,147.40 : 612,512.70 = 171,659.80 : x
  2. Step 2: Convert to fraction form
    408,147.40/612,512.70 = 171,659.80/x
  3. Step 3: Cross multiply
    408,147.40x = 612,512.70 × 171,659.80
  4. Step 4: Simplify right side
    408,147.40x = 105,143,807,579.46
  5. Step 5: Solve for x
    x = 105,143,807,579.46/408,147.40
  6. Step 6: Final answer
    x = 257,612.34

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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.