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Finding the Fourth Proportional to 408,031.40, 612,046.17 and 108,512.06

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Solution

The fourth proportional to 408,031.40, 612,046.17 and 108,512.06 is: 162,767.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,031.40 : 612,046.17 = 108,512.06 : x
  2. Step 2: Convert to fraction form
    408,031.40/612,046.17 = 108,512.06/x
  3. Step 3: Cross multiply
    408,031.40x = 612,046.17 × 108,512.06
  4. Step 4: Simplify right side
    408,031.40x = 66,414,390,721.81
  5. Step 5: Solve for x
    x = 66,414,390,721.81/408,031.40
  6. Step 6: Final answer
    x = 162,767.84

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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.