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Finding the Fourth Proportional to 408,420.81, 612,660.47 and 108,899.82

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Solution

The fourth proportional to 408,420.81, 612,660.47 and 108,899.82 is: 163,357.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,420.81 : 612,660.47 = 108,899.82 : x
  2. Step 2: Convert to fraction form
    408,420.81/612,660.47 = 108,899.82/x
  3. Step 3: Cross multiply
    408,420.81x = 612,660.47 × 108,899.82
  4. Step 4: Simplify right side
    408,420.81x = 66,718,611,840.81
  5. Step 5: Solve for x
    x = 66,718,611,840.81/408,420.81
  6. Step 6: Final answer
    x = 163,357.52

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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.