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Finding the Fourth Proportional to 680,714.72, 1,021,183 and 200,991.01

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Solution

The fourth proportional to 680,714.72, 1,021,183 and 200,991.01 is: 301,519.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,714.72 : 1,021,183 = 200,991.01 : x
  2. Step 2: Convert to fraction form
    680,714.72/1,021,183 = 200,991.01/x
  3. Step 3: Cross multiply
    680,714.72x = 1,021,183 × 200,991.01
  4. Step 4: Simplify right side
    680,714.72x = 205,248,602,564.83
  5. Step 5: Solve for x
    x = 205,248,602,564.83/680,714.72
  6. Step 6: Final answer
    x = 301,519.27

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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.