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Finding the Fourth Proportional to 408,420.31, 612,659.72 and 108,899.32

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Solution

The fourth proportional to 408,420.31, 612,659.72 and 108,899.32 is: 163,356.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,420.31 : 612,659.72 = 108,899.32 : x
  2. Step 2: Convert to fraction form
    408,420.31/612,659.72 = 108,899.32/x
  3. Step 3: Cross multiply
    408,420.31x = 612,659.72 × 108,899.32
  4. Step 4: Simplify right side
    408,420.31x = 66,718,224,861.43
  5. Step 5: Solve for x
    x = 66,718,224,861.43/408,420.31
  6. Step 6: Final answer
    x = 163,356.78

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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.