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Finding the Fourth Proportional to 370,265.31, 510,971.09 and 206,914.64

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Solution

The fourth proportional to 370,265.31, 510,971.09 and 206,914.64 is: 285,544.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,265.31 : 510,971.09 = 206,914.64 : x
  2. Step 2: Convert to fraction form
    370,265.31/510,971.09 = 206,914.64/x
  3. Step 3: Cross multiply
    370,265.31x = 510,971.09 × 206,914.64
  4. Step 4: Simplify right side
    370,265.31x = 105,727,395,548.33
  5. Step 5: Solve for x
    x = 105,727,395,548.33/370,265.31
  6. Step 6: Final answer
    x = 285,544.97

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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.