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Finding the Fourth Proportional to 331,673.31, 457,721.46 and 188,457.66

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Solution

The fourth proportional to 331,673.31, 457,721.46 and 188,457.66 is: 260,078.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,673.31 : 457,721.46 = 188,457.66 : x
  2. Step 2: Convert to fraction form
    331,673.31/457,721.46 = 188,457.66/x
  3. Step 3: Cross multiply
    331,673.31x = 457,721.46 × 188,457.66
  4. Step 4: Simplify right side
    331,673.31x = 86,261,115,283.38
  5. Step 5: Solve for x
    x = 86,261,115,283.38/331,673.31
  6. Step 6: Final answer
    x = 260,078.56

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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.