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Finding the Fourth Proportional to 396,914.84, 595,246.71 and 130,616

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Solution

The fourth proportional to 396,914.84, 595,246.71 and 130,616 is: 195,882.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,914.84 : 595,246.71 = 130,616 : x
  2. Step 2: Convert to fraction form
    396,914.84/595,246.71 = 130,616/x
  3. Step 3: Cross multiply
    396,914.84x = 595,246.71 × 130,616
  4. Step 4: Simplify right side
    396,914.84x = 77,748,744,273.36
  5. Step 5: Solve for x
    x = 77,748,744,273.36/396,914.84
  6. Step 6: Final answer
    x = 195,882.68

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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.