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Finding the Fourth Proportional to 339,357, 508,810.84 and 161,891.40

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Solution

The fourth proportional to 339,357, 508,810.84 and 161,891.40 is: 242,729.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,357 : 508,810.84 = 161,891.40 : x
  2. Step 2: Convert to fraction form
    339,357/508,810.84 = 161,891.40/x
  3. Step 3: Cross multiply
    339,357x = 508,810.84 × 161,891.40
  4. Step 4: Simplify right side
    339,357x = 82,372,099,222.78
  5. Step 5: Solve for x
    x = 82,372,099,222.78/339,357
  6. Step 6: Final answer
    x = 242,729.93

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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.