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Finding the Fourth Proportional to 500,086.77, 690,120.18 and 285,221.31

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Solution

The fourth proportional to 500,086.77, 690,120.18 and 285,221.31 is: 393,605.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,086.77 : 690,120.18 = 285,221.31 : x
  2. Step 2: Convert to fraction form
    500,086.77/690,120.18 = 285,221.31/x
  3. Step 3: Cross multiply
    500,086.77x = 690,120.18 × 285,221.31
  4. Step 4: Simplify right side
    500,086.77x = 196,836,981,797.04
  5. Step 5: Solve for x
    x = 196,836,981,797.04/500,086.77
  6. Step 6: Final answer
    x = 393,605.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.