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Finding the Fourth Proportional to 494,909.82, 682,990.71 and 290,923.32

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Solution

The fourth proportional to 494,909.82, 682,990.71 and 290,923.32 is: 401,483.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,909.82 : 682,990.71 = 290,923.32 : x
  2. Step 2: Convert to fraction form
    494,909.82/682,990.71 = 290,923.32/x
  3. Step 3: Cross multiply
    494,909.82x = 682,990.71 × 290,923.32
  4. Step 4: Simplify right side
    494,909.82x = 198,697,924,882.36
  5. Step 5: Solve for x
    x = 198,697,924,882.36/494,909.82
  6. Step 6: Final answer
    x = 401,483.09

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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.