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Finding the Fourth Proportional to 289,639.67, 433,893.90 and 137,620.41

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Solution

The fourth proportional to 289,639.67, 433,893.90 and 137,620.41 is: 206,161.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,639.67 : 433,893.90 = 137,620.41 : x
  2. Step 2: Convert to fraction form
    289,639.67/433,893.90 = 137,620.41/x
  3. Step 3: Cross multiply
    289,639.67x = 433,893.90 × 137,620.41
  4. Step 4: Simplify right side
    289,639.67x = 59,712,656,414.50
  5. Step 5: Solve for x
    x = 59,712,656,414.50/289,639.67
  6. Step 6: Final answer
    x = 206,161.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.