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Finding the Fourth Proportional to 396,151.80, 594,284.20 and 129,933.16

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Solution

The fourth proportional to 396,151.80, 594,284.20 and 129,933.16 is: 194,918.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,151.80 : 594,284.20 = 129,933.16 : x
  2. Step 2: Convert to fraction form
    396,151.80/594,284.20 = 129,933.16/x
  3. Step 3: Cross multiply
    396,151.80x = 594,284.20 × 129,933.16
  4. Step 4: Simplify right side
    396,151.80x = 77,217,224,044.07
  5. Step 5: Solve for x
    x = 77,217,224,044.07/396,151.80
  6. Step 6: Final answer
    x = 194,918.27

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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.