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Finding the Fourth Proportional to 289,251.76, 433,711.53 and 154,149.49

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Solution

The fourth proportional to 289,251.76, 433,711.53 and 154,149.49 is: 231,135.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,251.76 : 433,711.53 = 154,149.49 : x
  2. Step 2: Convert to fraction form
    289,251.76/433,711.53 = 154,149.49/x
  3. Step 3: Cross multiply
    289,251.76x = 433,711.53 × 154,149.49
  4. Step 4: Simplify right side
    289,251.76x = 66,856,411,156.62
  5. Step 5: Solve for x
    x = 66,856,411,156.62/289,251.76
  6. Step 6: Final answer
    x = 231,135.71

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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.