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Finding the Fourth Proportional to 654,508.98, 981,775.62 and 205,219.80

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Solution

The fourth proportional to 654,508.98, 981,775.62 and 205,219.80 is: 307,833.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,508.98 : 981,775.62 = 205,219.80 : x
  2. Step 2: Convert to fraction form
    654,508.98/981,775.62 = 205,219.80/x
  3. Step 3: Cross multiply
    654,508.98x = 981,775.62 × 205,219.80
  4. Step 4: Simplify right side
    654,508.98x = 201,479,796,381.28
  5. Step 5: Solve for x
    x = 201,479,796,381.28/654,508.98
  6. Step 6: Final answer
    x = 307,833.51

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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.