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Finding the Fourth Proportional to 379,097.15, 523,243.80 and 218,045.25

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Solution

The fourth proportional to 379,097.15, 523,243.80 and 218,045.25 is: 300,954.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,097.15 : 523,243.80 = 218,045.25 : x
  2. Step 2: Convert to fraction form
    379,097.15/523,243.80 = 218,045.25/x
  3. Step 3: Cross multiply
    379,097.15x = 523,243.80 × 218,045.25
  4. Step 4: Simplify right side
    379,097.15x = 114,090,825,181.95
  5. Step 5: Solve for x
    x = 114,090,825,181.95/379,097.15
  6. Step 6: Final answer
    x = 300,954.06

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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.