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Finding the Fourth Proportional to 500,471.96, 690,700.92 and 285,644.48

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Solution

The fourth proportional to 500,471.96, 690,700.92 and 285,644.48 is: 394,217.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,471.96 : 690,700.92 = 285,644.48 : x
  2. Step 2: Convert to fraction form
    500,471.96/690,700.92 = 285,644.48/x
  3. Step 3: Cross multiply
    500,471.96x = 690,700.92 × 285,644.48
  4. Step 4: Simplify right side
    500,471.96x = 197,294,905,128.92
  5. Step 5: Solve for x
    x = 197,294,905,128.92/500,471.96
  6. Step 6: Final answer
    x = 394,217.70

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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.