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Finding the Fourth Proportional to 408,743.80, 612,491.10 and 171,956.68

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Solution

The fourth proportional to 408,743.80, 612,491.10 and 171,956.68 is: 257,672.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,743.80 : 612,491.10 = 171,956.68 : x
  2. Step 2: Convert to fraction form
    408,743.80/612,491.10 = 171,956.68/x
  3. Step 3: Cross multiply
    408,743.80x = 612,491.10 × 171,956.68
  4. Step 4: Simplify right side
    408,743.80x = 105,321,936,085.55
  5. Step 5: Solve for x
    x = 105,321,936,085.55/408,743.80
  6. Step 6: Final answer
    x = 257,672.25

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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.