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Finding the Fourth Proportional to 654,318.88, 981,478.54 and 205,074.60

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Solution

The fourth proportional to 654,318.88, 981,478.54 and 205,074.60 is: 307,611.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,318.88 : 981,478.54 = 205,074.60 : x
  2. Step 2: Convert to fraction form
    654,318.88/981,478.54 = 205,074.60/x
  3. Step 3: Cross multiply
    654,318.88x = 981,478.54 × 205,074.60
  4. Step 4: Simplify right side
    654,318.88x = 201,276,318,999.08
  5. Step 5: Solve for x
    x = 201,276,318,999.08/654,318.88
  6. Step 6: Final answer
    x = 307,611.97

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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.