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Finding the Fourth Proportional to 500,461.96, 690,687.18 and 285,634.48

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Solution

The fourth proportional to 500,461.96, 690,687.18 and 285,634.48 is: 394,203.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,461.96 : 690,687.18 = 285,634.48 : x
  2. Step 2: Convert to fraction form
    500,461.96/690,687.18 = 285,634.48/x
  3. Step 3: Cross multiply
    500,461.96x = 690,687.18 × 285,634.48
  4. Step 4: Simplify right side
    500,461.96x = 197,284,073,501.97
  5. Step 5: Solve for x
    x = 197,284,073,501.97/500,461.96
  6. Step 6: Final answer
    x = 394,203.93

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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.