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Finding the Fourth Proportional to 345,969.36, 519,546.96 and 213,632.64

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Solution

The fourth proportional to 345,969.36, 519,546.96 and 213,632.64 is: 320,815.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,969.36 : 519,546.96 = 213,632.64 : x
  2. Step 2: Convert to fraction form
    345,969.36/519,546.96 = 213,632.64/x
  3. Step 3: Cross multiply
    345,969.36x = 519,546.96 × 213,632.64
  4. Step 4: Simplify right side
    345,969.36x = 110,992,188,668.77
  5. Step 5: Solve for x
    x = 110,992,188,668.77/345,969.36
  6. Step 6: Final answer
    x = 320,815.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.