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Finding the Fourth Proportional to 396,072.71, 546,580.49 and 214,784.59

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Solution

The fourth proportional to 396,072.71, 546,580.49 and 214,784.59 is: 296,402.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,072.71 : 546,580.49 = 214,784.59 : x
  2. Step 2: Convert to fraction form
    396,072.71/546,580.49 = 214,784.59/x
  3. Step 3: Cross multiply
    396,072.71x = 546,580.49 × 214,784.59
  4. Step 4: Simplify right side
    396,072.71x = 117,397,066,446.65
  5. Step 5: Solve for x
    x = 117,397,066,446.65/396,072.71
  6. Step 6: Final answer
    x = 296,402.82

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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.