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Finding the Fourth Proportional to 500,538.90, 690,754.83 and 285,674.64

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Solution

The fourth proportional to 500,538.90, 690,754.83 and 285,674.64 is: 394,237.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,538.90 : 690,754.83 = 285,674.64 : x
  2. Step 2: Convert to fraction form
    500,538.90/690,754.83 = 285,674.64/x
  3. Step 3: Cross multiply
    500,538.90x = 690,754.83 × 285,674.64
  4. Step 4: Simplify right side
    500,538.90x = 197,331,137,388.51
  5. Step 5: Solve for x
    x = 197,331,137,388.51/500,538.90
  6. Step 6: Final answer
    x = 394,237.37

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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.