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Finding the Fourth Proportional to 289,651.96, 399,584.10 and 180,667

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Solution

The fourth proportional to 289,651.96, 399,584.10 and 180,667 is: 249,235.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,651.96 : 399,584.10 = 180,667 : x
  2. Step 2: Convert to fraction form
    289,651.96/399,584.10 = 180,667/x
  3. Step 3: Cross multiply
    289,651.96x = 399,584.10 × 180,667
  4. Step 4: Simplify right side
    289,651.96x = 72,191,660,594.70
  5. Step 5: Solve for x
    x = 72,191,660,594.70/289,651.96
  6. Step 6: Final answer
    x = 249,235.88

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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.