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Finding the Fourth Proportional to 380,894.40, 571,380.48 and 131,544

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Solution

The fourth proportional to 380,894.40, 571,380.48 and 131,544 is: 197,329.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,894.40 : 571,380.48 = 131,544 : x
  2. Step 2: Convert to fraction form
    380,894.40/571,380.48 = 131,544/x
  3. Step 3: Cross multiply
    380,894.40x = 571,380.48 × 131,544
  4. Step 4: Simplify right side
    380,894.40x = 75,161,673,861.12
  5. Step 5: Solve for x
    x = 75,161,673,861.12/380,894.40
  6. Step 6: Final answer
    x = 197,329.43

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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.