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Finding the Fourth Proportional to 500,715, 690,986.70 and 274,355.64

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Solution

The fourth proportional to 500,715, 690,986.70 and 274,355.64 is: 378,610.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,715 : 690,986.70 = 274,355.64 : x
  2. Step 2: Convert to fraction form
    500,715/690,986.70 = 274,355.64/x
  3. Step 3: Cross multiply
    500,715x = 690,986.70 × 274,355.64
  4. Step 4: Simplify right side
    500,715x = 189,576,098,309.99
  5. Step 5: Solve for x
    x = 189,576,098,309.99/500,715
  6. Step 6: Final answer
    x = 378,610.78

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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.