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Finding the Fourth Proportional to 500,212.99, 690,229.65 and 285,340.24

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Solution

The fourth proportional to 500,212.99, 690,229.65 and 285,340.24 is: 393,732.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,212.99 : 690,229.65 = 285,340.24 : x
  2. Step 2: Convert to fraction form
    500,212.99/690,229.65 = 285,340.24/x
  3. Step 3: Cross multiply
    500,212.99x = 690,229.65 × 285,340.24
  4. Step 4: Simplify right side
    500,212.99x = 196,950,293,986.12
  5. Step 5: Solve for x
    x = 196,950,293,986.12/500,212.99
  6. Step 6: Final answer
    x = 393,732.87

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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.