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Finding the Fourth Proportional to 408,541.08, 612,869 and 109,031.40

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Solution

The fourth proportional to 408,541.08, 612,869 and 109,031.40 is: 163,562.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,541.08 : 612,869 = 109,031.40 : x
  2. Step 2: Convert to fraction form
    408,541.08/612,869 = 109,031.40/x
  3. Step 3: Cross multiply
    408,541.08x = 612,869 × 109,031.40
  4. Step 4: Simplify right side
    408,541.08x = 66,821,965,086.60
  5. Step 5: Solve for x
    x = 66,821,965,086.60/408,541.08
  6. Step 6: Final answer
    x = 163,562.41

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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.