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Finding the Fourth Proportional to 331,390.51, 457,318.92 and 180,487.51

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Solution

The fourth proportional to 331,390.51, 457,318.92 and 180,487.51 is: 249,072.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,390.51 : 457,318.92 = 180,487.51 : x
  2. Step 2: Convert to fraction form
    331,390.51/457,318.92 = 180,487.51/x
  3. Step 3: Cross multiply
    331,390.51x = 457,318.92 × 180,487.51
  4. Step 4: Simplify right side
    331,390.51x = 82,540,353,146.69
  5. Step 5: Solve for x
    x = 82,540,353,146.69/331,390.51
  6. Step 6: Final answer
    x = 249,072.77

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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.