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Finding the Fourth Proportional to 384,713.60, 577,016.46 and 131,989.95

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Solution

The fourth proportional to 384,713.60, 577,016.46 and 131,989.95 is: 197,966.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,713.60 : 577,016.46 = 131,989.95 : x
  2. Step 2: Convert to fraction form
    384,713.60/577,016.46 = 131,989.95/x
  3. Step 3: Cross multiply
    384,713.60x = 577,016.46 × 131,989.95
  4. Step 4: Simplify right side
    384,713.60x = 76,160,373,704.58
  5. Step 5: Solve for x
    x = 76,160,373,704.58/384,713.60
  6. Step 6: Final answer
    x = 197,966.42

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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.