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Finding the Fourth Proportional to 396,542.72, 594,907.68 and 130,304

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Solution

The fourth proportional to 396,542.72, 594,907.68 and 130,304 is: 195,486.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,542.72 : 594,907.68 = 130,304 : x
  2. Step 2: Convert to fraction form
    396,542.72/594,907.68 = 130,304/x
  3. Step 3: Cross multiply
    396,542.72x = 594,907.68 × 130,304
  4. Step 4: Simplify right side
    396,542.72x = 77,518,850,334.72
  5. Step 5: Solve for x
    x = 77,518,850,334.72/396,542.72
  6. Step 6: Final answer
    x = 195,486.76

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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.