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Finding the Fourth Proportional to 368,999.62, 509,242.85 and 213,982.63

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Solution

The fourth proportional to 368,999.62, 509,242.85 and 213,982.63 is: 295,309.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,999.62 : 509,242.85 = 213,982.63 : x
  2. Step 2: Convert to fraction form
    368,999.62/509,242.85 = 213,982.63/x
  3. Step 3: Cross multiply
    368,999.62x = 509,242.85 × 213,982.63
  4. Step 4: Simplify right side
    368,999.62x = 108,969,122,811.11
  5. Step 5: Solve for x
    x = 108,969,122,811.11/368,999.62
  6. Step 6: Final answer
    x = 295,309.58

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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.