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Finding the Fourth Proportional to 396,006.72, 594,071.10 and 129,703.02

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Solution

The fourth proportional to 396,006.72, 594,071.10 and 129,703.02 is: 194,574.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,006.72 : 594,071.10 = 129,703.02 : x
  2. Step 2: Convert to fraction form
    396,006.72/594,071.10 = 129,703.02/x
  3. Step 3: Cross multiply
    396,006.72x = 594,071.10 × 129,703.02
  4. Step 4: Simplify right side
    396,006.72x = 77,052,815,764.72
  5. Step 5: Solve for x
    x = 77,052,815,764.72/396,006.72
  6. Step 6: Final answer
    x = 194,574.52

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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.