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Finding the Fourth Proportional to 396,567.74, 546,849.42 and 235,391.78

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Solution

The fourth proportional to 396,567.74, 546,849.42 and 235,391.78 is: 324,594.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,567.74 : 546,849.42 = 235,391.78 : x
  2. Step 2: Convert to fraction form
    396,567.74/546,849.42 = 235,391.78/x
  3. Step 3: Cross multiply
    396,567.74x = 546,849.42 × 235,391.78
  4. Step 4: Simplify right side
    396,567.74x = 128,723,858,365.77
  5. Step 5: Solve for x
    x = 128,723,858,365.77/396,567.74
  6. Step 6: Final answer
    x = 324,594.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.