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Finding the Fourth Proportional to 543,245.79, 815,009.91 and 206,288.31

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Solution

The fourth proportional to 543,245.79, 815,009.91 and 206,288.31 is: 309,486.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,245.79 : 815,009.91 = 206,288.31 : x
  2. Step 2: Convert to fraction form
    543,245.79/815,009.91 = 206,288.31/x
  3. Step 3: Cross multiply
    543,245.79x = 815,009.91 × 206,288.31
  4. Step 4: Simplify right side
    543,245.79x = 168,127,016,967.15
  5. Step 5: Solve for x
    x = 168,127,016,967.15/543,245.79
  6. Step 6: Final answer
    x = 309,486.09

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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.