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Finding the Fourth Proportional to 654,388.47, 981,595.08 and 205,099.47

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Solution

The fourth proportional to 654,388.47, 981,595.08 and 205,099.47 is: 307,653.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,388.47 : 981,595.08 = 205,099.47 : x
  2. Step 2: Convert to fraction form
    654,388.47/981,595.08 = 205,099.47/x
  3. Step 3: Cross multiply
    654,388.47x = 981,595.08 × 205,099.47
  4. Step 4: Simplify right side
    654,388.47x = 201,324,630,662.61
  5. Step 5: Solve for x
    x = 201,324,630,662.61/654,388.47
  6. Step 6: Final answer
    x = 307,653.08

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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.