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Finding the Fourth Proportional to 654,663.30, 981,996.15 and 205,418.67

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Solution

The fourth proportional to 654,663.30, 981,996.15 and 205,418.67 is: 308,128.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,663.30 : 981,996.15 = 205,418.67 : x
  2. Step 2: Convert to fraction form
    654,663.30/981,996.15 = 205,418.67/x
  3. Step 3: Cross multiply
    654,663.30x = 981,996.15 × 205,418.67
  4. Step 4: Simplify right side
    654,663.30x = 201,720,343,078.12
  5. Step 5: Solve for x
    x = 201,720,343,078.12/654,663.30
  6. Step 6: Final answer
    x = 308,128.38

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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.