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Finding the Fourth Proportional to 543,838.62, 815,774 and 259,559.08

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Solution

The fourth proportional to 543,838.62, 815,774 and 259,559.08 is: 389,346.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,838.62 : 815,774 = 259,559.08 : x
  2. Step 2: Convert to fraction form
    543,838.62/815,774 = 259,559.08/x
  3. Step 3: Cross multiply
    543,838.62x = 815,774 × 259,559.08
  4. Step 4: Simplify right side
    543,838.62x = 211,741,548,927.92
  5. Step 5: Solve for x
    x = 211,741,548,927.92/543,838.62
  6. Step 6: Final answer
    x = 389,346.29

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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.