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Finding the Fourth Proportional to 396,403.40, 593,390.10 and 218,365.40

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Solution

The fourth proportional to 396,403.40, 593,390.10 and 218,365.40 is: 326,878.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,403.40 : 593,390.10 = 218,365.40 : x
  2. Step 2: Convert to fraction form
    396,403.40/593,390.10 = 218,365.40/x
  3. Step 3: Cross multiply
    396,403.40x = 593,390.10 × 218,365.40
  4. Step 4: Simplify right side
    396,403.40x = 129,575,866,542.54
  5. Step 5: Solve for x
    x = 129,575,866,542.54/396,403.40
  6. Step 6: Final answer
    x = 326,878.80

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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.