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Finding the Fourth Proportional to 408,741.30, 612,487.35 and 171,954.18

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Solution

The fourth proportional to 408,741.30, 612,487.35 and 171,954.18 is: 257,668.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,741.30 : 612,487.35 = 171,954.18 : x
  2. Step 2: Convert to fraction form
    408,741.30/612,487.35 = 171,954.18/x
  3. Step 3: Cross multiply
    408,741.30x = 612,487.35 × 171,954.18
  4. Step 4: Simplify right side
    408,741.30x = 105,319,760,029.62
  5. Step 5: Solve for x
    x = 105,319,760,029.62/408,741.30
  6. Step 6: Final answer
    x = 257,668.51

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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.