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Finding the Fourth Proportional to 654,175.78, 981,262.89 and 204,931.64

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Solution

The fourth proportional to 654,175.78, 981,262.89 and 204,931.64 is: 307,397.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,175.78 : 981,262.89 = 204,931.64 : x
  2. Step 2: Convert to fraction form
    654,175.78/981,262.89 = 204,931.64/x
  3. Step 3: Cross multiply
    654,175.78x = 981,262.89 × 204,931.64
  4. Step 4: Simplify right side
    654,175.78x = 201,091,810,252.39
  5. Step 5: Solve for x
    x = 201,091,810,252.39/654,175.78
  6. Step 6: Final answer
    x = 307,397.21

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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.