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Finding the Fourth Proportional to 384,098.73, 576,087.30 and 131,378.73

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Solution

The fourth proportional to 384,098.73, 576,087.30 and 131,378.73 is: 197,047.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,098.73 : 576,087.30 = 131,378.73 : x
  2. Step 2: Convert to fraction form
    384,098.73/576,087.30 = 131,378.73/x
  3. Step 3: Cross multiply
    384,098.73x = 576,087.30 × 131,378.73
  4. Step 4: Simplify right side
    384,098.73x = 75,685,617,843.13
  5. Step 5: Solve for x
    x = 75,685,617,843.13/384,098.73
  6. Step 6: Final answer
    x = 197,047.30

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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.