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Finding the Fourth Proportional to 331,390.54, 457,318.92 and 180,487.54

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Solution

The fourth proportional to 331,390.54, 457,318.92 and 180,487.54 is: 249,072.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,390.54 : 457,318.92 = 180,487.54 : x
  2. Step 2: Convert to fraction form
    331,390.54/457,318.92 = 180,487.54/x
  3. Step 3: Cross multiply
    331,390.54x = 457,318.92 × 180,487.54
  4. Step 4: Simplify right side
    331,390.54x = 82,540,366,866.26
  5. Step 5: Solve for x
    x = 82,540,366,866.26/331,390.54
  6. Step 6: Final answer
    x = 249,072.79

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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.