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Finding the Fourth Proportional to 384,679.80, 577,019.70 and 171,447.30

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Solution

The fourth proportional to 384,679.80, 577,019.70 and 171,447.30 is: 257,170.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,679.80 : 577,019.70 = 171,447.30 : x
  2. Step 2: Convert to fraction form
    384,679.80/577,019.70 = 171,447.30/x
  3. Step 3: Cross multiply
    384,679.80x = 577,019.70 × 171,447.30
  4. Step 4: Simplify right side
    384,679.80x = 98,928,469,611.81
  5. Step 5: Solve for x
    x = 98,928,469,611.81/384,679.80
  6. Step 6: Final answer
    x = 257,170.95

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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.