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Finding the Fourth Proportional to 408,152.40, 612,520.20 and 171,664.80

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Solution

The fourth proportional to 408,152.40, 612,520.20 and 171,664.80 is: 257,619.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,152.40 : 612,520.20 = 171,664.80 : x
  2. Step 2: Convert to fraction form
    408,152.40/612,520.20 = 171,664.80/x
  3. Step 3: Cross multiply
    408,152.40x = 612,520.20 × 171,664.80
  4. Step 4: Simplify right side
    408,152.40x = 105,148,157,628.96
  5. Step 5: Solve for x
    x = 105,148,157,628.96/408,152.40
  6. Step 6: Final answer
    x = 257,619.84

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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.