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Finding the Fourth Proportional to 543,378.80, 815,441.90 and 188,392.82

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Solution

The fourth proportional to 543,378.80, 815,441.90 and 188,392.82 is: 282,718.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,378.80 : 815,441.90 = 188,392.82 : x
  2. Step 2: Convert to fraction form
    543,378.80/815,441.90 = 188,392.82/x
  3. Step 3: Cross multiply
    543,378.80x = 815,441.90 × 188,392.82
  4. Step 4: Simplify right side
    543,378.80x = 153,623,399,087.16
  5. Step 5: Solve for x
    x = 153,623,399,087.16/543,378.80
  6. Step 6: Final answer
    x = 282,718.79

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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.