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Finding the Fourth Proportional to 307,793.51, 461,836.47 and 213,169.31

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Solution

The fourth proportional to 307,793.51, 461,836.47 and 213,169.31 is: 319,855.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,793.51 : 461,836.47 = 213,169.31 : x
  2. Step 2: Convert to fraction form
    307,793.51/461,836.47 = 213,169.31/x
  3. Step 3: Cross multiply
    307,793.51x = 461,836.47 × 213,169.31
  4. Step 4: Simplify right side
    307,793.51x = 98,449,359,333.55
  5. Step 5: Solve for x
    x = 98,449,359,333.55/307,793.51
  6. Step 6: Final answer
    x = 319,855.22

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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.