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Finding the Fourth Proportional to 216,489.31, 298,561.12 and 180,310.87

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Solution

The fourth proportional to 216,489.31, 298,561.12 and 180,310.87 is: 248,667.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,489.31 : 298,561.12 = 180,310.87 : x
  2. Step 2: Convert to fraction form
    216,489.31/298,561.12 = 180,310.87/x
  3. Step 3: Cross multiply
    216,489.31x = 298,561.12 × 180,310.87
  4. Step 4: Simplify right side
    216,489.31x = 53,833,815,295.37
  5. Step 5: Solve for x
    x = 53,833,815,295.37/216,489.31
  6. Step 6: Final answer
    x = 248,667.31

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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.