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Finding the Fourth Proportional to 339,536.54, 509,304.90 and 126,276.59

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Solution

The fourth proportional to 339,536.54, 509,304.90 and 126,276.59 is: 189,414.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,536.54 : 509,304.90 = 126,276.59 : x
  2. Step 2: Convert to fraction form
    339,536.54/509,304.90 = 126,276.59/x
  3. Step 3: Cross multiply
    339,536.54x = 509,304.90 × 126,276.59
  4. Step 4: Simplify right side
    339,536.54x = 64,313,283,495.77
  5. Step 5: Solve for x
    x = 64,313,283,495.77/339,536.54
  6. Step 6: Final answer
    x = 189,414.91

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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.