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Finding the Fourth Proportional to 500,244, 690,402.64 and 285,334.88

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Solution

The fourth proportional to 500,244, 690,402.64 and 285,334.88 is: 393,799.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,244 : 690,402.64 = 285,334.88 : x
  2. Step 2: Convert to fraction form
    500,244/690,402.64 = 285,334.88/x
  3. Step 3: Cross multiply
    500,244x = 690,402.64 × 285,334.88
  4. Step 4: Simplify right side
    500,244x = 196,995,954,436.08
  5. Step 5: Solve for x
    x = 196,995,954,436.08/500,244
  6. Step 6: Final answer
    x = 393,799.73

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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.