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Finding the Fourth Proportional to 494,346.49, 682,192.02 and 290,416.00

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Solution

The fourth proportional to 494,346.49, 682,192.02 and 290,416.00 is: 400,770.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,346.49 : 682,192.02 = 290,416.00 : x
  2. Step 2: Convert to fraction form
    494,346.49/682,192.02 = 290,416.00/x
  3. Step 3: Cross multiply
    494,346.49x = 682,192.02 × 290,416.00
  4. Step 4: Simplify right side
    494,346.49x = 198,119,478,863.11
  5. Step 5: Solve for x
    x = 198,119,478,863.11/494,346.49
  6. Step 6: Final answer
    x = 400,770.48

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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.