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Finding the Fourth Proportional to 654,434.40, 981,716.40 and 227,904.60

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Solution

The fourth proportional to 654,434.40, 981,716.40 and 227,904.60 is: 341,879.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,434.40 : 981,716.40 = 227,904.60 : x
  2. Step 2: Convert to fraction form
    654,434.40/981,716.40 = 227,904.60/x
  3. Step 3: Cross multiply
    654,434.40x = 981,716.40 × 227,904.60
  4. Step 4: Simplify right side
    654,434.40x = 223,737,683,455.44
  5. Step 5: Solve for x
    x = 223,737,683,455.44/654,434.40
  6. Step 6: Final answer
    x = 341,879.47

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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.