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Finding the Fourth Proportional to 396,957.42, 547,798.95 and 215,668.14

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Solution

The fourth proportional to 396,957.42, 547,798.95 and 215,668.14 is: 297,620.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,957.42 : 547,798.95 = 215,668.14 : x
  2. Step 2: Convert to fraction form
    396,957.42/547,798.95 = 215,668.14/x
  3. Step 3: Cross multiply
    396,957.42x = 547,798.95 × 215,668.14
  4. Step 4: Simplify right side
    396,957.42x = 118,142,780,640.45
  5. Step 5: Solve for x
    x = 118,142,780,640.45/396,957.42
  6. Step 6: Final answer
    x = 297,620.79

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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.