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Finding the Fourth Proportional to 521,729.28, 782,651.16 and 166,659.84

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Solution

The fourth proportional to 521,729.28, 782,651.16 and 166,659.84 is: 250,008.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,729.28 : 782,651.16 = 166,659.84 : x
  2. Step 2: Convert to fraction form
    521,729.28/782,651.16 = 166,659.84/x
  3. Step 3: Cross multiply
    521,729.28x = 782,651.16 × 166,659.84
  4. Step 4: Simplify right side
    521,729.28x = 130,436,517,101.41
  5. Step 5: Solve for x
    x = 130,436,517,101.41/521,729.28
  6. Step 6: Final answer
    x = 250,008.04

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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.