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Finding the Fourth Proportional to 339,397.42, 509,206.71 and 161,881.33

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Solution

The fourth proportional to 339,397.42, 509,206.71 and 161,881.33 is: 242,874.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,397.42 : 509,206.71 = 161,881.33 : x
  2. Step 2: Convert to fraction form
    339,397.42/509,206.71 = 161,881.33/x
  3. Step 3: Cross multiply
    339,397.42x = 509,206.71 × 161,881.33
  4. Step 4: Simplify right side
    339,397.42x = 82,431,056,913.69
  5. Step 5: Solve for x
    x = 82,431,056,913.69/339,397.42
  6. Step 6: Final answer
    x = 242,874.73

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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.