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Finding the Fourth Proportional to 309,668.62, 427,185.12 and 202,301.50

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Solution

The fourth proportional to 309,668.62, 427,185.12 and 202,301.50 is: 279,073.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,668.62 : 427,185.12 = 202,301.50 : x
  2. Step 2: Convert to fraction form
    309,668.62/427,185.12 = 202,301.50/x
  3. Step 3: Cross multiply
    309,668.62x = 427,185.12 × 202,301.50
  4. Step 4: Simplify right side
    309,668.62x = 86,420,190,553.68
  5. Step 5: Solve for x
    x = 86,420,190,553.68/309,668.62
  6. Step 6: Final answer
    x = 279,073.13

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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.