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Finding the Fourth Proportional to 654,318.91, 981,478.77 and 205,074.82

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Solution

The fourth proportional to 654,318.91, 981,478.77 and 205,074.82 is: 307,612.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,318.91 : 981,478.77 = 205,074.82 : x
  2. Step 2: Convert to fraction form
    654,318.91/981,478.77 = 205,074.82/x
  3. Step 3: Cross multiply
    654,318.91x = 981,478.77 × 205,074.82
  4. Step 4: Simplify right side
    654,318.91x = 201,276,582,091.57
  5. Step 5: Solve for x
    x = 201,276,582,091.57/654,318.91
  6. Step 6: Final answer
    x = 307,612.36

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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.