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Finding the Fourth Proportional to 345,861.78, 477,395.82 and 202,668.36

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Solution

The fourth proportional to 345,861.78, 477,395.82 and 202,668.36 is: 279,744.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,861.78 : 477,395.82 = 202,668.36 : x
  2. Step 2: Convert to fraction form
    345,861.78/477,395.82 = 202,668.36/x
  3. Step 3: Cross multiply
    345,861.78x = 477,395.82 × 202,668.36
  4. Step 4: Simplify right side
    345,861.78x = 96,753,027,910.26
  5. Step 5: Solve for x
    x = 96,753,027,910.26/345,861.78
  6. Step 6: Final answer
    x = 279,744.78

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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.